How smart is /b/?
>>677662400
50%
>>677662400
50%
50%
1 in 2.
62,5%?
160^2%
If OP has a ball in 1hand and a cock in his ass, what are the chances of him having a ball in his other hand
67.5
>>677662400
Fuck off Randy
2 gold balls, 5 balls in total, therefore 2/5
>>677662916
100%
>>677662620
this
>>677662400
33% you fucking pleb
1 in 3
>>677662400
I join the 50% people
>>677662400
this is just a re-tooled monty hall problem
>>677662400
Do your own homework faggot
>>677662400
P=2/3
50%
>>677662400
6/30 (tree diagram 3/6 x 2/5)
>>677663047
3 boxes only 1 is corect
Hmmmmm
>>677663006
I know this is true I just don't know why
>>677662620
>>677662635
>>677662718
>>677662723
>>677662791
>>677662832
>>677662924
>>677662969
>>677662972
>>677663006
Fucking hell.
OP here and every single one of you so far are incorrect.
Jesus Christ. /b/ really is a cesspit of stupidity.
Can ANYONE get the correct answer and explain to these simpletons why they're wrong?
>>677662916
<50% he's more likely to have a sick in his other hand
>>677663154
No, it isn't. Similar, but not retooled at all. I'll give you thye answer soon.
It's just 50%
You need not worry about what box is picked - we are told one ball is gold. This rules out box #3 on the list.
Out of the two boxes remaining, remove one gold ball from each.
Oh look! There's a gold ball left in box 1, and a silver ball in box 2.
The odds are 50/50 that the NEXT ball is gold. Do not let the other four balls confuse you.
>>677662400
100%
I got the midas touch faggot
X - gold
y - gray
posibilities of getting balls:
X,X
X,X
X,y
y,X
y,y
y,y
he already took out gold ball so there's 3 options remaining:
X,X
X,X
X,y
2 out of 3 are gold balls so the probability is 2/3
>>677663361
its 50%.
but you are distracted by the cock in your ass so its ok
40%
>>677663500
This, this is the correct explanation.
Its eiter 33% or 50%, this depends on which golden ball you pick, if its the one from the box with the gold and silver ball the probability is 33% if the first gold ball is from the box with the two gold balls the probability is 50%
>>677662400
33% you fucking retards. The only way you get a second gold ball is if you pick from the left box with 2 gold balls. Theres a 1/3rd chance you/ll get the box with 2 gold balls.
33.33333333333%
Bamboo - one of the fastest growing plants on earth. Some of his Chinese varieties may one day grow up to a meter. Some historians believe that a deadly bamboo torture were not only used by ancient Chinese and Japanese military and during World War II. How it works: 1) The germs live bamboo sharpened knife to have turned sharp "spear"; 2) The victim is hung horizontally, back stomach or over the beds of young sharpened bamboo; 3) Bamboo grows rapidly in height, pierce the skin of a martyr and grow through his abdomen, a man dies very slowly and painfully. 2. Iron Maiden is torture bamboo, "iron maiden" many researchers believe the terrible legend. Maybe those metal coffins with sharp spikes in only frightened defendants, after which they cothrough
>>677662400
33.33%
5
>>677663842
Depends on which ball you pick first**
>>677662400
1in 3
>>677663500
No
There are 3 boxes
only one has 2 gold balls
100%. I shoot OP, and take the gold and the silver.
Sayanora niggers
Just pick up 2 more balls and you got yourself a pair
Wouldn't it be 2/5 chance to get another golden ball?
>>677663500
this is correct.
are you all really this fucking stupid?
>>677663564
>>677663564
>>677663564
>MFW you niggers are retarded and don't have the midas touch
it's like .6666666 repeating 2/3 chance that the second ball is gold
>>677663500
OP here about to school you faggots
>It's just 50%
The answer is actually 2/3
>You need not worry about what box is picked - we are told one ball is gold. This rules out box #3 on the list.
This is correct, You must either have th ebox with 2 gold balls, or the box with 1 gold and 1 silver.
>Out of the two boxes remaining, remove one gold ball from each.
That's not what happens in the question. In the question, you've randomly seleted 1 box from 3. and then randomly plucked a ball from that box. The ball was gold.
>Oh look! There's a gold ball left in box 1, and a silver ball in box 2.
That means nothing. You are working with a single box now, not 2 boxes from which you have removed 2 gold balls.
>The odds are 50/50 that the NEXT ball is gold.
Incorrect.
The answer is 2/3
Here is the reason:
You are TWICE AS LIKELY to have the all gold box as you are to have the gold/silver box due to the fact that the first ball plucked from the box was gold.
Answer = 2/3
Google Bertrand's Box Paradox.
>>677663900
It's 1/2, because there are only 2 boxes with gold balls in them, so it couldn't be the third one
>>677663361
you have higher chance to be in first box then second. its 2/3 to 1/3. In first box you win in second you loose. so its 2/3
>>677663900
>33% you fucking retards. The only way you get a second gold ball is if you pick from the left box with 2 gold balls. Theres a 1/3rd chance you/ll get the box with 2 gold balls.
>What is the probability that the next ball you take from "THE SAME BOX" will also be gold
being so autistic doesn't even read the question
1 out of 5
>>677664058
Are you actually retarded or are you trolling?
>>677663900
>>677663842
>>677663500
hahaha
retards
>>677662400
1/3
>>677663714
Except it isn't. This retard doesn't seem to understand that you can't see inside the boxes, and that you only take out 1 gold ball, not 2. So, here's what actually happens. You take out a gold ball. You immediately know that box #3 is eliminated because it has no gold balls at all. You're left with 3 balls in total over 2 boxes, with 2 gold balls left from them. It doesn't matter which box you choose from, the probability is going to be 2/3.
>>677664350
>>677664418
derp. I get it now. Its either the box with 2 balls or the box with one grey ball. 1/2
2 out of 4
>>677663629
You're retarded.
The answer is 2/3
Bertrand's Box Paradox
>>677663361
Dickhead, if you got a gold ball on your first box, then you know that it's not the box with 2 silver balls in it. Therefore the 2 silver ball box is irrelevent to the second draw. So 50%
1/3
3 boxes and you have 1/3 to have picked the box with 2 gold balls.
>>677664325
Sorry nigra but that can't happen because I shot you and took the precious metals.
not touching your balls op, we've been over this
>>677664365
Correct.
>>677663361
50%
You have information that you are drawing from a box that contained at least 1 gold ball.
Only 2 boxes contain a gold ball per the problem description.
Thus, the next ball drawn will be the remaining ball from one of those 2 boxes.
The remaining ball can either be silver or gold, per the problem description and information that you have extracted 1 gold ball.
Thus, if you draw another ball from the same box, you have equal chances of drawing a silver or gold ball.
2 outcomes with equal probabilities.
Refute any part of this line of reasoning and I'll suck your feminine penis, faggot.
>>677662400
One third
>>677663361
>explain to these simpletons why they're wrong
only correct box is the one with two gold balls. Having already picked a gold ball means that there is a 2 in 3 chance you have picked from the correct box. Probability of the next ball being gold is 1/3.
>>677664951
fuck *2/3
probability is 2/3
>>677664590
this anon gets it.
Simulation proves 2/3
2/3
Wow this image board is full with idiots, no surprise when I think about it with all the losers, cucks, faggots and anti-jews idiots.
>>677664654
>Therefore the 2 silver ball box is irrelevent to the second draw
Correct
>So 50%
incorrect.
Dickhead.
See this anon >>677663618
Answer = 2/3
2/3 one is silver still
>>677664951
Nope, knowing what could be in the boxes and that you just drew a gold ball rules out the silver-silver box. Only two boxes fit the constraints.
>>677664857
you are wrong because of the greater chance of picking a gold ball from the correct box (2/3). Picking a gold ball from the wrong box is only 1/3.
Probability of next ball being gold is not 1/2, it is 2/3. Faggot.
it's 2/3, dumb fucks
>>677665302
Fuck you. The double silver box does not even enter into the equation! we are counting gold balls, not boxes. faggot
>>677665469
This!
1/2, only 1 box has 2 gold balls in it and the third box has no gold balls in it.
>>every post in this thread
https://en.wikipedia.org/wiki/Conditional_probability
It's simple math guys
>>677664590
>>677664590
YES, You know that it is only Box #1 (G/G) or Box #2 (G/S) because you've already gotten a G so it can't be #3 which is (S/S).
>#3 is no longer part of the experiment. (pretend this is so)
The probability is NOT how many gold balls there are out of how many balls there are left, it is what is the likelihood the next ball you choose will be a gold ball FROM THE SAME BOX.
you know the next ball will be either GOLD (if you had put your hand in Box #1) or SILVER (if you had put your hand in Box #2).
1/2
50%
.5
I just can't see it any other way.
I might be wrong but I can't see any evidence of it being 2/3
http://ideone.com/0lX19q
It's .666993
there are 2 gold ones and 1 silver one left, so 2/3
>>677664857
>Refute any part of this line of reasoning and I'll suck your feminine penis, faggot.
I will refute, but you can suck someone else's penis.
>You have information that you are drawing from a box that contained at least 1 gold ball.
Correct
>Only 2 boxes contain a gold ball per the problem description.
Correct
>Thus, the next ball drawn will be the remaining ball from one of those 2 boxes.
Correct
>The remaining ball can either be silver or gold, per the problem description and information that you have extracted 1 gold ball.
Correct
>Thus, if you draw another ball from the same box, you have equal chances of drawing a silver or gold ball.
INCORRECT!!!! The fact that the first ball drawn from the box was gold, means that you are TWICE AS LIKELY to have picked the ALL GOLD box, thus given the probability of the next ball drawn being gold = 2/3.
See Bertrand's Box Paradox, son:
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
two steps:
First: You know the ball picked is gold, there are 3 gold balls in total, 2 in the first box and 1 in the second box, meaning that there is a 2/3 chance the first box is picked and a 1/3 chance the second box is picked.
Second: if the first box is picked the chance is 100% the other ball is gold, and if the second box is picked the chance is 0% the other ball is gold.
Combining these two gives a probability of 2/3 that the other ball is gold.
p=2/3
Retards
>>677663618
This analysis doesn't work because you assume you can distinguish between the gold balls.
In other words you say you can distinguish between
X,X
X,X
but actually you can't, and this fundamentally matters.
If you don't believe me, read up on the statistics of Quantum Mechanics. Things change drastically whether you have distinguishable and indistinguishable particles.
It's 100%. I'm going to put the gold ball back without letting it go, and take the same ball out of the same box.
Anyone saying 2/3 is a moron. 1/2 is the correct answer. Only two boxes are a possibility. If box is XY then the pull will be Y if the box is XX then the pull will be X. Only two possible outcomes hence 1/2. Any other attempts to explain are plebian and spit in the face of Occam's Razor.
It's 2/3 because it states that the ball you grabbed is gold. There are two boxes in total that contain at least one gold ball. Out of those two boxes there are 3 gold balls and one silver ball. You've already grabbed one of the gold balls so there are now 2 gold balls and one silver, thus the probability of choosing a gold ball would be 2/3.
>>677662400
haven't read thread yet...
2/3 master race
There are three possible gold balls for you to have drawn first.
All three are equally likely.
Two of these balls have a second gold ball in the same box.
Checkmate atheists.
>>677665142
I will also provide a simple explanation for you idiots. I can't believe someone actually ran a code. What a bunch of losers populate this board jesus.
This question can be asked in this way:
look at the boxes in the pictures.
We randomly choose a gold ball in the picture.
What are chances that the gold ball that we chose is in the left box?
You need to be a retard not to see the answer.
>>677665648
Lemmi esplain.
When you have a gold ball in your hand you could have picked one of three. There is a two out of three probability you picked from the right box, and a one out of three probability you picked from the wrong box.
Even the most certified retard should understand this by now.
Check em.
>>677665648
>I might be wrong but I can't see any evidence of it being 2/3
Pic Related
Answer is 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677665648
yeah, but you are twice as likely to have chosen the GG box than you are to choose the GS box if the condition is that you first pick a G ball
5/6
>>677665930
>Anyone saying 2/3 is a moron.
No. 2/3 is correct.
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677665720
>https://en.wikipedia.org/wiki/Bertrand's_box_paradox
Nope dipshit.
The problem statement says you _know_ that you drew a gold ball, not what the probability of drawing a second gold ball after _potentially_ drawing a first gold ball is.
The devil is in the details. OP was trying to be clever, but got the wording wrong.
>>677665189
The probability of the first draw is irrelevent to the probability of the second draw.
Aren't You more likely to take a gold ball from the box that contains 2? Then it's more likely that it is the box that contains the two gold balls?
Holy shit I'm retarded. Been thinking about this forever. It's either 100% or 50% or 0%, depending on which box you take from, now I'm rethinking because that's stupid.
You only have a 50% chance of getting either box with the gold ball in it, and in one box you have 50% chance and other 100% chance, so add them up = 200/300 % chance, which equals 66% chance. I'm retarded
Has anyone heard of Baye's theorem? We have to learn this shit in high school if we have maths, and maths is the most likely subject any random student would have because of the fucking stupid education system.
But you guys actually made me kind of proud of it.
>>677666631
also doesn't clarify if you put ball back in or not
33%, it's the monty hall problem all over again
by pulling gold it's like removing the other door (the silver box), the remaining 2 doors had a combined chance to contain 2 gold of 66%
>Probability
>%
lel, plebs
>>677666449
>The probability of the first draw is irrelevent to the probability of the second draw.
No, it's not.
2 out of three times, the first draw (gold ball) is from the box with the second gold ball.
>>677665930
Check my post below you retard. You're not just analysing the boxes, you're analysing what's inside them. The probability would be 1/2 only if there are EQUAL AMOUNTS OF GOLD AND SILVER BALLS WHEN THE BALLS OF THE TWO BOXES ARE GROUPED TOGETHER. But there aren't equal amounts of the gold and silver balls. YOU HAVE GRABBED ONE GOLD AND NOW THERE ARE 2 GOLD AND ONE SILVER HENCE THE ANSWER IS 2/3
RETARDS EVERYWHERE
I'M 15
LEARN YOUR MATH YOU AUTISTS
>>677666377
Nope. The wording in OPs image is different from Bertrand's Paradox, so we are talking about a different problem. If you want to apply the Paradox, then you need the minor correction I made in the image.
50% right?
You take the gold ball out so it is 2/5 or 40%
>>677666991
MODS MODS MODS
>>677667146
WTF ARE MODS? I'M A NEWFAG IK BUT JUST SOMEONE SAY
>>677667047
He got you there retard OP. Btfo
use Bayes theorem, ez shit
>>677667260
Hes alerting the moderators to your presence as you claim to be 15 on website that is 18+ only
>>677663618
This dosen't make sense to me.
X= Gold
Y=Gray
Box 1= X,X
Box 2= Y,Y
Box 3= X,Y
If i take out X, this is the new set of boxes:
Box 1= X,X
Box 2= X,Y
>Box 3= Y,Y
Box 3 is eliminated, so the probability is 50/50
>>677667047
True dat. The way its written in OPs pic, the answer is 50%
>>677662400
33%
You have a 33% chance to chose the box with 2 gold balls
The double silver box is irrelevant once you find that you picked a gold ball first
>>677667549
Dear mods, as you may have noticed, I may be a troll; not a harmful one. Merely stating that I'm underage would provoke a reaction of elders. I can assure you that I'm over 18 years of age.
Yours faithfully, someone who is 18+
>>677666389
Are you retarded?
It's 2/3.
Read the article.
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677667676
But, given that you have got a gold ball, it is more likely that you would have got the first gold ball from the G.G box than the G.S box
>>677667963
Well now i don't know what to believe
53.3% and 33.3%
>>677663361
If you take a gold ball, then you removed a ball from the 1st box or from the 2nd box because the 3rd one doesn't have gold balls.
You now have 1 ball in the box.
If you took the ball from the 1st box, you will get a golden ball (success), but if you took it from the 2nd box you will get a silver ball (failure).
Successful cases / Total cases = Probability
1 / 2 = 0.5 (which translates to 50%)
>trust me, I'm an engineer
>>677666389
>The devil is in the details. OP was trying to be clever, but got the wording wrong.
This is the truth
>>677662400
https://en.m.wikipedia.org/wiki/Monty_Hall_problem
>>677665647
Here it is done on paper
Mathematical answer is P(A|B)=2/3
Where A-second ball taken out is gold
And B-first ball taken out is gold
>>677666389
This guy gets it.
>>677668210
100-85 is equal to
>>677668198
This is what I believe.
It's 50%.
Since only two boxes contain gold balls, box 3 is removed from the equation. Easy.
What the 2/3 people people are being hung up on is that one of the gold balls is ALREADY OUT OF THE BOX. Thereby, the remaining balls in each possible box would be 1 gold or 1 silver ball. The probability of drawing that second golden ball is now 50/50.
33%
>>677662400
2/5... 40% and the other endless fractions you can make.
>>677668328
>>677667708
>>677667269
>>677667047
Haha. OP tried to be cute so he could feel smarter than the average b-tard. but is too stupid to understand the actual principal of this paradox. What a tard...
The probability is either 100% or 0% depending on which box was drawn from. You can't say there is a 50% chance, because if the gold/silver box as taken, there is a 0% chance as the second ball inside will never be gold if the initial ball was gold.
>>677668198
Why is it more likely?
>>677667047
That means the exact same thing, you fucking idiot.
Let me demonstrate how retarded you are with this simple exercise.
I have 2 sweets.
1 is white and 1 is black.
I hide each of them under a cup.
Now I ask you to pick a cup and reveal what color the sweet is.
You pick a cup.
Underneath it is a white sweet.
What is the probablity that the sweet under the other cup is also white?
Now let's word it another way.
You pick a cup.
IF the sweet underneath is a white sweet,
What is the probablity that the sweet under the other cup is also white?
Both of those questions essentially mean the same thing and give the same answer of 0.
Not only are you faggots retarded at Math, you also have terrible reading comprehension.
Answer to OP question = 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677665810
Can confirm quantum mechanics. Had to learn for chemistry.
>>677668683
Ready for this you autist?
X=gold Y=silver
Box 1 XX
Box 2 XY
Add the boxes/collect like terms
3X Y
You grabbed one gold ball.
2X Y
3 balls you can grab of which 2 are gold and one is silver, thus the probability of grabbing a gold ball is 2/3
2/3
>>677662400
I dont get how this is hard. If you grabbed a gold sphere out of one box, then are going to grab the 2nd sphere in the same box it means the box with 2 silver spheres is not the box you are in. That leaves a 50% probability that the remaining sphere will be gold or silver.
>>677669072
It's a probability of the boxes contents combined, excluding box 3
>>677666991
Someone is butthurt. Simplicity always prevails.
xx
Xy
Yy
Pick x
Yy is cancelled
Choice is between xx and xy
Remove x
Choice is x or y
1 of 2 is 50%
Savant was wrong.
Eat a cock faggot.
>>677669457
It's hard because there are retards like you because the answer is 2/3, not 1/2 aka 50% if you didn't know that too
>>677664325
This is actually 100% wrong. Grabbing a gold sphere first only eliminates the 3rd box. Theres still 2 boxs remaining, with an equal chance that you could be grabbing from either, which makes it a 50/50 chance. I would say this is obvious bait, but i actually do believe you are this fucking stupid.
>>677669764
There's 2 fucking x to choose from. You retardely eliminated a X to make it 1/2.
Gold balls don't disappear by themselves
ITT: A bunch of faggots that don't understand probability and a few that do. P = 66.66...%.
>>677668330
Allow me to elaborate. The initial odds are 33% per box because they're three boxes. Picking one does not change the initial odds and your odds are still 33% for picking that one box.
It's not like you can change your choice at that point. You already picked tye box.
>>677664325
>paradox
>implying Statistics is a exact science
Take it to practice, take second ball from same box, chances are 1/2.
>>677669457
There was a 33% chance of choosing the double gold box
And that is what the problem asks
What % chance you picked the box with double gold
Because that's the only way o chose a second gold ball in chosen box
33%
>>677669249
Let's say you select boxes at random, and repeat a large number of times. On average, you will select each box 1/3 of the time. So, 1/3 of the time you will pick the first box (and get a gold ball) and 1/3 of the time you will select the middle box (and get a gold ball half the time, resuling in a 1/6 of the time overall), and 1/3 of the time you will select the third box and get a silver ball. So, given that the ball is gold, it is twice as likely to have come from the first box than the second.
>>677670104
It doesnt matter how many balls exist. What matters is which box you are pulling from. There becomes a 50% chance you are pulling from 2g box, and a 50% chance you are pulling from GS box.
>>677670112
THANK YOU
IM SCRATCHING MY EYE BALLS OUT
THE AUTISTS ARE HAVING THE BALLS TO TRY AND PROVE THEIR 33% and 1/2 PROBABILITIES
STOOOOP YOU DUMB FUCKS
NO WONDER NOT MANY PEOPLE CAN GAMBLE
FUCKING 50 50 EVERYTHING WHOOO
NO MATE
IT'S 2/3
>>677669691
yes, but when you pick a box, the contents of the other boxes become irrelevant.
>>677670488
THE QUESTION ASKED SPECIFICALLY THE PROBABILITY OF GRABBING A GOLD BALL. IT DIDN'T ASK THE PROBABILITY OF THE BOXES YOU AUTIST
>>677664365
>>677664840
>>677664951
wrong
and I have a major in math and logic ;-)
>>677662400
1/3
Its about what box you pock. Only one box gives you two gold balls
>>677670562
YES I KNOW
WTF R U ON ABOUT?
>>677662400
1/3
Its about what box you pick. Only one box gives you two gold balls
>>677670506
>>677670112
Actually the way the question is written it is a 50% chance. Its only 2/3 IF you ask the question "if you pick a gold ball, whats the chance that the second ball in that same box is also gold." The way its written here, it is already given that you've picked one gold ball and so that first draw does not factor into the probability.
Are they real gold?
>>677670925
I think you should consider redoing that major
2/3
>>677670104
There's only one possible box fucknuts. You can't pull the same ball out and you can't pull from a different box. That leaves two choices. The first choice only matters for the process of elimination. Two boxes left. If box 1was chosen I.e. xx then you must choose x again. If box 2 was chosen I.e. xy then you must choose y. Only two possible outcomes. You are under the assumption that x is distinguishable from x when in fact x is x.
Someone call Monty Hall.
This thread is full of the most retarded reasoning I've ever seen
Any1 that says 2/3 is a fucking moron
>>677662400
1/3%
>>677671069
They're most likely gold alloys because pure gold can be bent and dented easily. These images display smooth and dent-less balls, thus they're most likely gold alloys.
>>677670506
Question asks what is the likelihood of chosing the (1) double gold box at the beginning
Because chosing the double gold box is the ONLY WAY to pickup a SECOND gold ball from the box you chose
you have a 33% chance to chose doubl gold box at start right?
So now you are abou to pickup second ball
Well the only way for second ball to be gold is if you had chosen the double gold ball box
Which you had a 33% chance to do
This you STILL only have a 33% chance to pickup that second gold ball
Since it I a 100% chance that IF YOU CHOSE DOUBLE GOLD BOX then your second gold ball will be gold
33% is answer
You all go back to school
>>677671320
This exactly fucking this.
>>677670488
Checked.
The odds are still 33%. Two gold balls are only in one box of the three.
If you were given ANOTHER CHOICE, the odds would change.
You can not choose a different box, so the odds are still the same as the first attempt. Looking at one retrieved ball is a red herring, just a way to prolong the answer.
>>677671113
repeating your wrong answer doesn't change the facts, honey.
Look at >>677671320 this guy explained it in a way that even you can understand it ;-)
>>677665048
is that java ?
>>677671320
You grabbed one gold ball, not two
Autist
>>677671066
I'm sorry you're such a faggot, and that you don't understand probability. The few smart faggots in this thread have tried to explain it, and you still don't get it. I'm not even going to try.
BTW, your dubs are the correct answer.
>>677671514
Please, do yourself a favour and go back to school.
Please.
Another way to represent the problem with cups where you can only take the balls from top
There are 2 possibilities where after first gold the second is gold and 1 where after first gold the second is silver. Again, it's 2 out of 3.
>>677671569
Hi honey bitch face.
You grabbed one gold ball, not two
1/2 I think
>>677671569
That would only make sense if you could change boxes. At this point you already made your choice and odds are still the same
>>677671568
The question is asked after the third box is eliminated. It did not ask what your odds are originally. It asked that knowing you eliminated one box, what are the odds the next ball will be gold. Which is 50%.
>>677670781
It actually did. It asked what are the odds the NEXT ball you grab out of the SAME box is gold. Since you ELIMINATED the SS box, it leaves the GG box and the GS box, which means that its 50%. Read it. It fucking asks what are the odds the NEXT BALL you grab will be gold. That means 1 box is eliminated.
>>677671320
Beeing this stupid deserves a price, or a diagnosis. Congrats you big fat faggot.
lele
I can see the perspective of the 1/2ers
I can see the perspective of 2/3ers
But where the fuck is 33% coming from?
>>677671695
this is so tard it has to be b8. these retards probably go to the casino and lose all their money at the roulette table because they think they know some shit about numbers. the ball is either going to be silver or gold, and neither have higher odds of being picked.. so it's 50/50 u fucking turd. lol
>>677672514
Tytytytytytytyty
>>677672602
no problm
>>677672533
because you have a 1/3 chance of selecting the gg box
>>677671892
>>677671604
Hes not saying you grabbed 2. Hes saying 1 of 2 possibilities exist. Either you grabbed the ball from GG or the ball from GS. Either way its 50%. There might be a total of 2 gold balls still remaining, but the probability has to do with which box you choose not how many balls exist in those boxs. How many balls exist in those boxs does not effect the likelyhood. You either choose out of box A or box B meaning theres a 50 50 chance.
>>677672585
>he ball is either going to be silver or gold, and neither have higher odds of being picked
You are so thoroughly retarded...
>>677670020
>Theres still 2 boxs remaining, with an equal chance that you could be grabbing from either
Wrong. you are twice as likely to have th all gold box
2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
/b/ is fucking retarded tonight
>>677672514
Being this retarded
>>677672789
Oh yeah wikipedia thats a good source, damn. I already read it. Doesnt mean its correct.
>>677672896
prove it wrong
>>677672974
What's your source?
>>677672748
In the perspective of the 1/2 probability, you would have different probables for each of the two boxes. It asked for the probability of the gold balls within the boxes. It tricks you into considering the boxes by eliminating the 3rd box before you solve the probability. For you just deal with the balls, you'll get 2/3
It's 50%.
You pull a gold out of the box. Meaning it's not the double silver.
This leaves the two possible options that the box you pulled from is either the double gold, or gold/silver.
Because the box can ONLY be one of these two FIXED options, the box paradox logic cannot be applied to this question as it assumes all three remaining balls (2 gold and 1 silver) have equal chance to be collected out of ONE box.
This is not the case however as there are only 2 balls in every box and the one we are selecting only has one in it now. Meaning that if it's the double gold, there is a 100 chance to get another gold. Or if it's the mixed, there will be 0 chance to get another gold.
Basic arithmetic gives the answer. 100+0/2 = 50
>>677672145
The odds don't change if you can't change your choice, faggot.
Originally his odds of choosing two gold balls is 33%. That doesn't change if you know the fucking outcome.
If you win the lottey, did you odds become 100% to win magically? Fucking idiot
>>677672974
>>677673041
Find fault in my logic without quoting wikipedia.
3 boxs. 1 is eliminated. Whether or not the 2nd ball will be gold depends on which box you picked. 2 boxs. You picked 1. 50/50. Does not matter how many gold balls exist between those 2 boxs. You are still either in box 1 or box 2. Where is the flaw in logic?
>>677671066
You're an idiot.
You have 2 balls.
1 of them is cancerous.
The other is perfectly healthy.
The doctor removes the cancerous ball. What is the probability that you are left with 1 healthy ball?
Answer = 1
IF IF IF IF IF the doctor removes the cancerous ball, what is the probability that you are left with 1 healthy ball?
Answer = 1 again
They mean the same thing and you are an idiot
Answer is 2/3 that the next ball is gold.
>>677672836
>/b/ is fucking retarded tonight
>tonight
Pretty much always, when it comes to questions about probability. Any one of these retards could have just looked up this well-known probability exercise, but instead they used their shitty common sense to try to justify incorrect answers. The probability is 2/3, if you don't believe it, go fucking look it up.
>>677673238
well stated. the 2/3 would be correct if all the balls were in one sac, then we would be laughing about the fag with 3 balls in his sack
>>677673216
It asks what the likelyhood of grabbing a gold ball is AFTER you already eliminate one of the boxs. Its not a trick question.
>>677673293
Yes, they do. Ever watch poker? When cards get shown the chances of a winning hand go up or down based on the new information, even though the hands will not change nor will the card that will be flipped next, its set in stone, but with MORE INFORMATION the statistics change.
>>677672358
>Since you ELIMINATED the SS box, it leaves the GG box and the GS box, which means that its 50%.
That DOES NOT mean it is 50%.
Try to understand it like this:
There are 2 boxes.
1 box has 100 gold balls.
the other box has 99 silver balls and 1 gold ball.
You pick a box at random.
You reach in and take a random ball from the box.
It's a gold ball.
Is it a 50% chance that you have the ball with 99 silver balls?
Think about it.
Answer to OP question is 2/3.
It can be either 1/3 or 1/2 depending which gold ball you chose first.
http://math.stackexchange.com/questions/187909/statistics-bertrands-box-paradox
What a bunch of fucknut coconuts in this thread
>>677673301
no, the ball in my example that I took out was a bad example. If u took out of the second box then there is no chance of getting a gold. If you took it out of the first one than you would have 100% of getting the gold ball. Keep in mind it says you take another ball from the same box. I was wrong but I am pretty sure u are also.
>>677673687
3 gold balls, one silver ball
REMOVE THE ONE GOLD BALL(as you said to)
omg 2 gold balls, one silver ball
>>677672771
i am thoroughly MENSA and you are a stupid
>>677673301
You could be in box nr1 by pulling gold ball nr1
You could be in box nr1 by pulling gold ball nr2
You could be in box nr2 by pulling gold ball nr3
Here you go faggot
It's 2/3, you fucking morons.
Learn to math.
If you stop and actually think about it like you aren't stupid, you'll realize that you might as well ask what the odds are of picking a box with two identical balls.
(Source : I'm a professional gambler. I do great, because people don't understand how fucking odds work.)
>>677673301
>Does not matter how many gold balls exist between those 2 boxs
Yes it does.
You are twice as likely to have the all gold box by virtue of having piked a gold ball as the first ball.
The fact that your brain can't comprehend this simple fact is amusing.
Look at it this way:
There are 2 boxes.
1 box has 100 gold balls.
the other box has 99 silver balls and 1 gold ball.
You pick a box at random.
You reach in and take a random ball from the box.
It's a gold ball.
Is it a 50% chance that you have the box with 99 silver balls?
>>677673687
much easier
if you switch players after the ball has been taken
how big are his chances to take another gold ball out of that box?
50%
0%
At start you must assume you chose a box that is not GOLD GOLD
Because 2 of 3 boxes are not 2xGold
Then when the SILVER SILVER box is removed we must then assume we chose the Gold Silver box because we ha a 66% chance to chose a non- GG box
Thus, since we assume we chose a non-GG box, and we know that it was not the SS box, we have therefore chosen th Silver Gold Box
0% chance
>>677673687
The second part of his explanation is exactly why Savant is wrong. It's also why card counting works. Revelations change probabilities. Knowing changes everything.
>>677673562
Answer is 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
Who the fuck gives a shit you moron
>>677674250
Yeah, I read it. He's wrong.
2 statements mean the same thing and are asking the same question.
I DONE THIS PROBABILITY QUESTION USING MY BRAIN AND I GOT THE ANSWER 2/3.
STUPID AUTISTS, RETARDS AND SUPPOSEDLY MATH MAJORS WORKED THEIR BRAINS TO THE WRONG ANSWERS.
THUS, US WITH THE RIGHT ANSWER HAD TO SEARCH IT UP ON THE WEB AND SCREENGRAB THE PROOF JUST TO SHOVE THE 2/3 UP YOUR BUMS AND INTO YOUR SKULLS
>>677662400
about tree fiddy
>>677664622
How does it feel to have the intelligence of a 5 year old?
Anyone spouting about Betrand's fucking box needs to stfu and learn basic english.
The question CLEARLY states
>whats the chance the next ball YOU TAKE from the SAME BOX will be gold.
NOT
>whats the chance the of the ball BEING gold
The chance of the other ball ON ITS OWN being gold is 2/3. The chance of YOU picking out the gold ball is 1/2.
You are all retarded.
>>677673301
The very fact that the first ball was gold is twice as likely if the box has 2 gold balls. Therefore it is slightly more likely that you picked the right one. Probability is not about intuition, it is solid math, unlike statistics.
>>677674012
I am smarter than you. So there.
>>677675222
damn dude what the hell is your title?
does it fit on a bussinesscard?
>>677675188
>There are three boxes, each with one drawer on each of two sides. Each drawer contains a coin. One box has a gold coin on each side (GG), one a silver coin on each side (SS), and the other a gold coin on one side and a silver coin on the other (GS). A box is chosen at random, a random drawer is opened, and a gold coin is found inside it. What is the chance of the coin on the other side being gold?
>Answer = 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
Suck it, faggot.
Zero percent chance.
Fools gold. Fuck you
Oh dear, where have all the so called professionals and condescending bitches with their sarcastic answers disappeared to?
They're all slowly coming to the realisation that the answer is 2/3.
>>677675598
>damn dude what the hell is your title?
Doctorates stack, so my official title is: "Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr."
>does it fit on a bussinesscard?
It does, but the font is super small.
>In a survey of 53 Psychology freshmen taking an introductory probability course, 35 incorrectly responded 1⁄2; only 3 students correctly responded 2⁄3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
My first impression was "it's 50%, it has to be because you've already established one ball is gold."
But here's the thing: there are 3 possible situations where the ball is gold: you took the gold ball from the gold/silver box, you took the first gold ball from the gold/gold box, or you took the second gold ball from the gold/gold box.
Pic related, it's a tree diagram that shows all the possible outcomes (given that you don't continue if you pull out a silver ball the first time). As you can see, 1/3 chance of getting a silver ball, 2/3 of getting a gold ball.
I hate statistics but I hate being wrong more.
>>677675729
Good job. You quoted the exact issue that I just said and doubly proved the point by not only miss reading the OP, but also miss reading the argument. You really are fucking illiterate.
>other side being gold?
>BEING
not taking.
>>677662400
You've eliminated the silver only box so that leaves you with
>possibility1: a silver ball. You had stuck your hand into the gold-silver box.
>possibility 2: a gold ball. You had stuck your hand into gold-gold box
>possibility 3: a gold ball. Ditto.
So 2/3?
>>677675188
You do not know which box you have chosen. We can only work with what we know.
>>677664418
You start from the situation that you pick a gold ball, from there the chance is 50% for the next to be gold.
>>677676388
At least you took the time to work out the correct answer for yourself, unlike these retarded 50% faggots who insist that they can't be wrong despite all the evidence and solutions showing the correct answer is 2/3.
63.34% And here is why.
You picked a gold ball.
2 in 3 chance you picked box 1 (it has 2 out of 3 total gold balls)
1 in 3 chance you picked box 2 (it has 1 out of 3 total gold balls)
0 in 0 chance you picked box 3 (it has no gold balls)
So 66.67% you got the first box, which is the only box that allows you to get a second gold ball. However, this is where we have to introduce racial considerations. A black nigger will run off with the first gold ball. The only way for the illiterate black nigger to know there was a gold ball in any of the boxes in the first place is if he was told by the owner: a white man, as he has property. It is very unlikely a white man would tell an aids infested illterate black nigger where he stores his gold. This leads me to believe 0% will take another gold ball from the same box.
Less than 5% of the global population falls under the category of aids infested illiterate black gang rapist niggers. Lets assume it is 5%. This means 95% of people will have a 66.67% of getting another gold ball from the same box and 5% of people will have a 0% chance of getting another gold ball from the same box. So on the whole the odds are 63.34%.
Here's the proper mathematical method
P(2 golds | 1 gold) = p(2 golds intersection 1 gold (ie p(2 golds)) /p(1 gold)
= (1/3)/(1/2)
= 2/3
>>677676522
At this point, you must be trolling, as nobody could be this retarded AND double down on it.
Answer is 2/3, simpleton.
Too bad you can't understand it. I suggest you kill yourself as soon as possible to avoid any possibility of spreading the dumb gene.
The answer is: either 100% or 0%.
If you meant to ask, "what is the probability of correctly guessing that the next pull will be a gold ball" then I have to give the same answer (as long as the balls are gold and silver - the metals - and not made of the same material and painted differently).
Gold is heavier than silver. That box will weigh more.
>>677663006
/thread
>>677676523
Yes.
There are 3 ways to pick a gold ball as the first ball.
2 out of those 3 ways will lead to a seconds gold ball.
2 out of 3
2/3
>>677677384
Good old Bayes' Theorem.
2/3
All 50% nigs, listen up :
If the boxes were made so that the first ball you picked from a box was always golden, the prob would be 50%
But they're not. meaning that when you pick a gold ball, you have 2/3 chances to have picked the first box, hence the 2/3 prob
this drawing explains it
>>677671842
>>677664650
googled bertrands box paradox
youre an idiot, this is not the same as bertrands box paradox cause bbp doesnt take the coin from the same box
>>677664365
youre fucking wrong you fucking fag
>>677662400
there is an importaint thing missing:
is the box still available after the first try?
>>677676990
You know you have a gold ball.
You know that one box has 2 gold, one box has 1, and the other has 0.
Therefore you know you now KNOW you have a box that either has one gold ball, or one silver ball.
I get why people are saying 2/3, but you are reading the question wrong.
>>677678017
no he's right actually : >>677677804
>>677677876
>bbp doesnt take the coin from the same box
Yes it does. Fuck off troll.
Answer = 2/3
>>677677804
But my friend, if you read the question Mr MENSA is correct. The first ball is said to be gold, take another look.
Since the first is always gold, you are presented with that 50/50.
I can't believe how much they really believed it was 1/2 despite the evidence.
100%, if you first put the original gold ball back in, keep a finger on it, and then select it again.
>>677678095
>I get why people are saying 2/3, but you are reading the question wrong.
You don't get why we are saying 2/3 because you don't understand conditional probability.
There are 3 ways to pick a gold ball as the first ball.
2 of those those 3 ways will give a second gold ball.
2 of 3
2/3.
GG
GG
GS
>>677663618
>>677663815
>>677664325
if i do a coin toss, and i see 19 times tails in a row, whats are the odds that the next one is also tails?
its fucking 50% you fucking highschool dropouts
>what is statistical independence
>>677677804
if you got the gold one first, that means that it is either the gold/gold box or the gold/notgold box. hence the chances are 50/50
The question asks what is the likelyhood to chosing a second gold ball
There is only 1 box out of 3 that makes this possible
Thus you have a 33% chance of chosing the box with GOLD GOLD
So the only way for you to pickup two GOLD balls in a row is if you hit on your 33% chance to chose the GOLD GOLD box
When you make your first choice you set in stone your % chance of having the ability to chose double GOLD
Removing the SILVER SILVER box dose not change the fact that you had a 33% chance to chose the GOLD GOLD box
You still have the same box that you did before the SILVER SILVER box was removed
So you still hav a 33% chance to draw a second GOLD ball after drawing the first
>>677678348
The first isn't always gold. The first one you grabbed was gold. You didn't grab one gold from each of the boxes. You grabbed one gold from one of the two boxes, thus leaving you with one silver and two gold balls.
I've posted on here about 20 times.
The probability of you grabbing a gold ball is 2/3.
>>677678348
The first is always gold, so that means you picked box 1 or 2. It is however more likely you picked box 1, because it has two gold balls. The odds you picked box 1 are infact 66.67%.
its 33% you dumbasses
>>677678348
>>677678140
>>677677804
nvm I'm retarded. IT's still 2/3
but not for the reason I thought I had understood
>>677678809
Please de-autify yourself
>>677678675
>if i do a coin toss, and i see 19 times tails in a row, whats are the odds that the next one is also tails?
>its fucking 50% you fucking highschool dropouts
Yes this is correct.
The answer to the OP question is 2/3
You would understand this if you had a proper grasp of conditional probability.
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
2/3
>>677678707
Your capitalization of GOLD and SILVER makes me believe you are this variety of pokemon. A jew would never gets his facts about gold and silver wrong though. I am confused.
Smoke weed.
You mathheads will argue about anything. The correct answer is 16,6....
>>677678707
2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677662400
50%
>Given that the first ball is gold, what is the probability that the 2nd ball is gold
this is like saying
>given that you know you are picking from either box 1 or 2, what is the probability that you are picking from box 1?
50% you uneducated fags
>>677678950
the task op gave was incomplete dude
and i have a fucking math degree holy shit
>>677662400
2 fifths you cretins
>>677679161
You are TWICE AS LIKELY to have box 1 if the first ball drawn is Gold, you simpleton.
Answer = 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
i take back my initial answer and thank /b and op for enlightening me
>>677679212
I have a math doctorate, pleb. Get on my level.
2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677678995
Or 33,3333...
>>677679161
Please stop. All your other 50% buddies are dying out and are coming to us 2/3 buddies. The train's almost leaving with us 2/3 people on, and I've heard that the train leaves the retards and autistics behind.
Learn why it's 2/3 and maybe you'll make it aboard in time.
You have a 2/3 chance to chose a box that gives the opportunity to chose GOL as the second ball in the box
The GG & GS
An once the SS box has been removed, and since you have chosen a GOLD first ball, your second GOLD ball can not possibly come from the GS box
Thus you have chosen the box with GG and have a 100% chance to chose a second GOLD ball
>>677679289
it's given that the first pick is gold. That has absolutely no bearing on the probability of gold in pick 2. This is a memoryless problem
>>677679388
i'm steven hawking, actually its 25% you peasant
2/3. The GG box has two possibilities, since either gold ball could've been chosen first. This means of the 3 possibilities , 2 of those are pulling another gold meaning the chance of another gold is 2/3.
>>677679388
AWESOME REPLY ILY
>>677662400
NOT AMERICAN HERE
The answer is 2/3
>>677679388
cool story the text in the OP is still incomplete
should have taken reading comprehension classes instead you fucking faggot
it does not say whether he removes the coins/boxes from the pool or puts them back in again after picking
>>677678675
If I give you a box that contains 2 gold balls and a box that contains 1 gold ball and 1 silver and tell you to pick from either box at random, which box is more likely to give you a gold ball?
Hint: It's box 1. Box 1 is more likely to have given you a gold ball, because it has twice as many gold balls.
Therefore, if you pick at random and retrieve a gold ball, it is more likely that the gold ball came from the box with 2 gold balls. See how that works? See how fucking simple that is?
Since it is more likely the ball came from the box with 2 gold balls, it isn't a fucking 50-50 chance you picked from either box. In fact, it's a 66% chance you picked from the box with 2 gold balls, because 2 of the 3 total gold balls are in the box with 2 gold balls.
The events aren't independent.
The boxes are not equal.
Your inability to see that is a sign of crippling autism.
>all these retards unable to do maths
13/24, just over 1 half/50%
33% chance of selecting 2 gold box = 1/3
75% chance of select gold from boxes not all silver = 3/4
1/3 x 4 = 4/12
3/4 x 3 = 9/12
4/12 x 9/12 = 13/24 chances
idiots
>>677679607
I'm Einstein, (ps I made myself immortal)
the answer is clearly pi times radius of my personal circle's arc centre perimeter is equal to 360 X gravitational waves = 48%
100%
One of the boxes has no silver balls so we can rule that one out
Two of the boxes have a gold ball in them and between those two boxes there are 4 balls 3 gold and one silver
Since you have one of the gold balls you might think the next one you take has a 2/3 chance.
But you are wrong it say you take a gold ball and only one box has 2 gold balls 1/1 100%
>>677679289
>https://en.wikipedia.org/wiki/Bertrand's_box_paradox
This isn't bertrand's box
Bertrand's box says
>What is the probability of taking a gold, then taking another gold
the proposed question is
>given the first was gold, what is the probability that the second is gold
See the difference? yes, the subtle difference in wording matters
>>677679603
>That has absolutely no bearing on the probability of gold in pick 2. This is a memoryless problem
there are 2 boxes
1 box has 100 gold balls
the other box has 99 silver balls and 1 gold ball
You pick a box at random.
You pick a ball at random.
It's a gold ball.
What is the probability that the next ball you pick is also gold?
Still think it has no bearing?
Answer to OP is 2/3
2/3
pic related:
first ball picked above
second ball bellow
>>677662400
>be me
>Serb with advanced math curriculum
>see problem easier than the most basic shit we did in probability class
>deduce within seconds that P=2/3=66.66...%
>see all the retards posting retard shit in thread
>mfw
1.) Weigh the two boxes you didn't pick from. The lighter one contains two silver balls.
2.) Weigh the box you're picking from. Double it.
That information will allow you to correctly predict the probability.
The answer will be either 100% or 0%.
I actually can't believe that the majority of you are 18+, some with math majors and still can't figure out this probability question.
2/3 / 66% ride or die
btw you die if your retarded brains worked out 1/2 / 50%, 1/3 / 33%, and anything in between
>>677679597
Exacally someone gets it
>>677662400
50% you fucking retards. Theres a 50% chance that itll be gold, and there is a 50% chance itll be silver.
>>677680137
this is still 50% on the second ball.
you're not asking the probability of picking a golden ball then a golden ball, you're asking the probability of picking a golden ball after knowing your first ball was gold.
learn to math, and learn to English you fucking pleb
>>677680135
Now you're making shit up to make yourself appear less retarded.
Unfortunately for you, we can read the article about Bertrand's Box Paradox ourselves without having to rely on your lies.
OP's question is a version of the Bertrand Box Paradox.
the answer = 2/3.
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677680689
You're a pure retard.
I'm 18- and I was capable of working this out correctly.
Learn why the answer is 2/3.
Don't deny it, learn it and build your knowledge.
Someone reference the success ice burg.
not even MOOCs can save us from global stupidity
>>677680719
>you're asking the probability of picking a golden ball after knowing your first ball was gold.
Exactly. That's why the answer is 2/3, you simpleton.
If you didn't know the first ball was gold, then then the probability of getting 2 gold balls in a row would be 1/3.
But we KNOW the first ball was gold.
There are 3 ways to get a gold ball as the first ball.
2 out of those 3 ways gives a seconds gold ball.
1 out of those 3 ways gives a silver ball as the second ball.
Answer = 2/3
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
>>677663618
This.
>>677662400
pastebin com 02DBCKjD
Proof that it's 50%
>>677681092
I think it's coming from 1 place
>>677681135
I know what Bertrand's box is. The proposed question is not the bertrand's box paradox.
>itt: OP uses subtle shift in wording to troll the fuck out of people who know math but can't read to save their life
>>677662400
33 god damn percent, there is a 1in 3 chance you picked the double gold ball box
Shout out to all my 2/3 homies who stuck to their 2/3 answer right at the very start despite the over flow of retards and autists almost causing us brain damage with their 1/2 answer floods.
>>677679824
Re read the question dumbass, you dont have the option to change boxes on 2nd pull
>>677681414
>The proposed question is not the bertrand's box paradox.
Yes it is. Read it and weep.
https://en.wikipedia.org/wiki/Bertrand's_box_paradox
Answer = 2/3
you have a 66% chance to pick a box which has at least one gold ball
Thus allowing your second picked ball to be GOLD
You obviously hit on this chance by chosing one of the boxes that let you chose your first GOLD ball
And since you did hit a box that lets you chose a GOLD ball second, and your first choice was a GOLD ball, you must have chosen the GG box since the GS box gives 0% chance to chose a gold ball after having chosen a GOLD ball first
Thus you have chosen the GG box and you have a 100% chance to NO chose a second gold ball