How smart is /b/?
The stories and information posted here are artistic works of fiction and falsehood.
Only a fool would take anything posted here as fact.
Only a fool would take anything posted here as fact.
How smart is /b/?
50%
>>709138768
100%
>>709138768
75%
Source: Not retarded
>>709138826
>>709138877
>>709138892
I hope you're all trolling.
110%
>>709138892
Didn't fully read the question though, so I take it back
50%
>>709138892
actually it's 33.3%, retard
>>709138976
>>709138826
I found the idiots.
>>709138979
This is the correct answer
The coin could landed upright
oh man this is always a shitstorm.
protip: its 50%
>>709138976
This
>>709138925
No, of course they aren't.
>>709138979
>>709139063
You are retarded. The output of the first coin doesn't affect the output of the second one, retards.
>>709139109
show your work, anon
>>709139108
But you don't know the probability that it would. So you can't find the answer. Problem solved.
>>709139063
Everyone who says its not 50% is an autist
>>709138768
>Original space:
HH HT TH TT, with equal probability
>At least one head:
HH HT TH, with equal probability
HH/[HH, HT ,TH] = 1/3
>>709139163
>What is the probability BOTH will be heads
>Given that ONE is ALREADY heads.
You're not just trying to find the equation for a single coin you fuck.
1/3
>>709139291
since you know that one of them will always land on heads you may as well just lay the first one down on the table heads up. and just flip the second one
1/3
I hope everyone on this thread is trolling or you need to go back to your primary school maths class
>>709139291
Words is hard
>>709139260
>>709139291
2 possibilities : hh, ht. That's all.
Options for the flip result:
Heads Heads
Heads Tails
Tails Heads
1 in 3 chance that both are heads
>>709139352
Now you're trying to be retarded.
>>709138826
>>709138976
>>709139109
>>709139163
>>709139234
Anyone who says 50% is either trolling or retarded.
The answer is 1/3
See here >>709139260
Flip 2 coins. 4 outcomes possible:
heads, heads
heads, tails
tails, heads
tails, tails
At least 1 coin landed heads, so that eliminates tails, tails as a possibility, leaving:
heads, heads
heads, tails
tails, heads
Both heads is 1 of those 3 equally probable outcomes.
1 of 3
1/3
>>709139408
He's right, you fuck retard.
>>709139163
it says at least one of them lands heads
that means there are three possible scenarios
heads heads
heads tails
tails heads
so given those three possible scenarios, whats the probability of heads heads
1 out of 3
33.3%
retard
>>709139352
You are completely disregarding the scenario where the first coin lands tails and the second heads. You know, one third of the possible outcomes.
There are, altogether, 4 different outcomes to flipping two coins (or one coin twice), assuming that it cannot land on its side:
Tails, heads
Heads, heads
Heads, Tails
Tails, Tails
Now only one of these doesn't satisfy the condition set by OP (one of them has to be heads), so we are left with 3 choices, each one of them equally likely. One of them is heads, heads and it has a 1/3 probability.
>>709139352
You're fixing a coin if you do that. OP question does not fix either coin.
In your scenario, the answer would be 1/2.
In OP scenario, the answer is 1/3.
Why?
Because in OP question, EITHER coin could be tails, just not both at the same time.
1/3
>>709139467
HT=TH faggot it doesnt matter which coin is left or right its 50:50
>>709139389
Or th
1/3
>>709139450
how you gonna get "tails, heads" when the first one cant be tails ?
>>709139462
He's wrong, you simpleton.
1/3
>>709139544
Fucking this Jesus Christ this thread is full of dropouts
>>709139352
no, because it doesn't say which one will land heads it just says one of them will
so it could be the second coin that actually lands heads, and the first one lands tails
>>709139450
>HT and TH are different outcomes
Wrong.
You flip a coin. It lands head. You flip a second coin. What's the probability that it lands head ?
>>709139559
>HT=TH
You should just kill yourself. How can anyone be this fucking dumb?
1/3
>>709139605
nothing like that was stated lmao :D
>>709139559
No I think he might be right, the two coins are independent
>>709139605
>how you gonna get "tails, heads" when the first one cant be tails ?
Who said the first one can't be tails?
Your reading comprehension is shit, anon.
1/3
>>709139643
Edit : you can do it in the opposite way, it still works.
>>709139643
Nowhere in the question presented did they specify that the first coin flipped will automatically be heads. Just that one of them will.
Anyone who doesn't believe that the answer is 1/3, you could just take a coin from your purse (since you're a faggot) and flip it twice, record the outcome, disregard the outcome if it doesn't contain at least one heads, and repeat for 100 times. You will come up with 30-35 heads-heads results with a 99% certainty.
1/3%
>>709139605
"I didn't read the question entirely," the post.
>>709139710
It said "at least one of them will always be heads"
It didn't exactly say "the first one",though.
:ITT Fools argue with troll and idiots
>>709138768
All y'all are dumbfuck niggers.
It's 50%.
'given that one of them landed heads'
If we have a guaranteed heads the other coin will either be or won't be heads. Thus the chance for both to be heads is 50%.
>>709139798
I see it it doesn't make you any less wrong.
>>709139643
>>HT and TH are different outcomes
>Wrong.
Are you fucking retarded?
Flip a penny and a quarter.
Is
penny=heads, quarter=tails
the same as
penny=tails, quarter=heads ????
No, retard. They are different outcomes.
>You flip a coin. It lands head. You flip a second coin. What's the probability that it lands head ?
That's a different question, simpleton. The answer to that question is 1/2.
The answer to OP question is 1/3
>>709139767
but i don't have a purse
>>709139565
both th and ht fall under "not both are heads"
>>709138768
I feel like this would be a similar deal to the Monty Hall problem, am I right?
>>709139891
But there is a higher possibility of it happening th or ht than hh
>>709139839
There are 3 equally probable ways to get at least 1 heads coin for a 2 coin flip, you moron.
heads, heads
heads, tails
tails, heads
1/3
>>709139867
what about nickels and dimes though?
alright guys lets try putting it this way. one of the coins is going to land on heads, so these are the possible outcomes.
one coin is heads and one coin is tails
or one coin is heads and the other coin is heads
50% chance here guys
>>709139891
hh = 1/3
ht/th = 2/3
1/3
>>709139767
I flip two coins in the morning
I flip two coins at night
I flip two coins in the afternoon
It makes me feel alright
I flip two coins in time of peace
And two in time of war
I flip two coins before I flip two coins
And then I flip two more
>>709139891
Yeah and that's two different outcomes that are still not HH. Making it more likely that you will not flip double heads. Thus, it is not 50/50
>>709139559
it does matter
because if your first coin lands tails then it is guaranteed that the second one will be heads
but if your first coin lands heads then the second could be heads or tails, therefore IF your first coin lands heads, THEN it would be 50/50 chance, but it is not a guarantee that the first coin will be heads
>>709139751
Still. One of them is guaranteed heads. The other is a 50/50 chance independent of the coin that did heads.
But then I'm always 'wrong' in these dumb maths problem threads.
The answer to the other one is 1 you fucking faggots.
>>709139989
>>709139450
one side of the argument is posting graphs and shit the other is just yelling
>>709139989
Are you high or just stupid? Nowhere is said WHICH coin has to be H or T.
2 coins
1 is guaranteed heads
other has a 1 in 2 chance to be heads
chance for both to be heads is 50%
now kindly unfuck yourself
1/3 rd chance
>>709140155
I really do hope you're trolling, faggot.
1/3
Simulation confirms
The trick with this question is dividing up possibility space into EQUALLY LIKELY outcomes.
You can say these are the possibilities:
HH
HT
TH
TT
or these:
both heads
both tails
one of each
Which is right?
It turns out the first division is better because every outcome is equally likely. Each coin divides up the possibility space into two equal areas, so the outcome should have four areas. How can you divide up anything into equal halves and end up with three equal pieces? (with a finite number of cuts.) Impossible.
If we are given the information that at least one coin is heads, we know there are three equally likely possibilities:
HH
HT
TH
(we were told that TT didn't occur)
So there are three equally likely outcomes, HH is one in three.
By the way, you'll never see a multiple choice exam after leaving school. Guessing the right answer if you can't explain yourself is almost completely useless.
>>709140255
now im not a programmer, but i dont see anything in there that guarantees one of the coins is heads
>>709139945
>>709140047
I-I think you're right...
>>709140041
This nigga knows what's up.
>>709138768
itt retarded fucktards shit themselves
>>709140255
simulation confirms you're a faggot who can't read
https://en.wikipedia.org/wiki/Boy_or_Girl_paradox
so, the way I rationalize this is actually that the only way we can guarantee we get at least one heads when flipping two coins is that the first coin is a heads. in the situation that the first coin is tails, it is possible that the second coin flip could also be tails, which would invalidate the rules (one coin must be heads). thus, because having the first coin not be heads leads to a scenario where both coins couid be tails, the first coin must always be heads to assure the condition of the logic puzzle is met.
therefore I conclude that 1/2 is the correct answer.
I understand fully how one arrives at 1/3 and I think the problem can be rationalized that way, as well.
>>709140107
yea because if you put it in a picture obviously its more true. nothing can be expressed properly through words alone
>>709140012
>>709140359
if(coin1==1 || coin2==1)
1 denotes heads. Only trials with at least 1 heads are counted.
>>709140452
well make me a graph nigga
>>709140505
exactly, thats not the scenario being put to us. the scenario doesnt say "flip 2 coins and ignore anything with no heads" it says that one heads is guaranteed
>>709139260
I was going to say 50%, but that actually makes a lot of sense.
>>709140255
>using rand()
>>709140437
>the only way we can guarantee we get at least one heads when flipping two coins is that the first coin is a heads.
You're a fucking retard.
2 coins were flipped and at least 1 coin landed heads, purely by chance. It was never fixed and was never guaranteed.
If the FIRST coin landed heads, the answer is 1/2.
If AT LEAST 1 coin landed heads, the answer is 1/3
Source: Washington University Math Dept. (see slide 4)
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf
1/3
I showed my 15 year old brother this puzzle, even he knows its 1/3.
/b/ is stupidier than a 15 year old confirmed.
>>709140563
>it says that one heads is guaranteed
No, it says at least 1 landed heads, which is what the simulation counts.
1/3
I could post the Bayes' theorem solution, but this place is full of morons who don't know what Bayes' is.
>>709140594
Actually, it doesn't. If we have a guaranteed heads, the 2xH outcome rides on one coin and one coin only.The coin in question can be either heads or tails, nothing else, so the chance for double heads, when one of them is guaranteed, is 50%.
>>709140718
>when one of them is guaranteed
EITHER coin could be tails, you fucking simpleton, just not both at the same time.
hh
ht
th
are all valid and equally probable outcomes.
1/3
>>709140699
look mate, there are two outcomes here
one coin was heads, one was tails
one coil was heads, the other coin was heads.
its really that simple
>>709140884
look mate, there are two outcomes here
you win the lottery
you don't win the lottery
its really that simple
^THIS is how retarded you are.
Getting
>one coin was heads, one was tails
is TWICE AS LIKELY as getting
>both heads
1/3
>>709140884
Those two outcomes are not equally likely.
>>709140991
just because you put numbers on the coins doesnt change the outcome. youre gonna have a heads, and then you have to determine the other coin. which is a 50/50
>>709140699
Yes, and if at least one of two is heads, the other will either be or not be heads, thus the chance is 50% for both to be heads.
peasant
1/3.
It is not guaranteed, thus nullifying the override.
Chances are HT, TH, HH.
If it's guaranteed, then it would become
HT HH
And thus the chance become 1/2.
>>709141051
Join the debate club and write off math as a lost cause, you'll never learn but your mind can be used as a blunt instrument.
>people LITERALLY think its 50/50
>>709140788
And yet you're too fucking retarded to realize that th = ht and the chance for hh remains 50%.
>>709141051
It's already been explained multiple times ITT
So you're either trollling, retarded, or haven't read the thread.
1/3
I'm not going to waste my time explaining it when it's been done to death already.
>>709141090
Damn, you're dumb as fuck.
>>709141165
>th = ht
Oh look, another retard.
>>709140991
this
>>709141174
alright think whatever you want man, i'll walk away knowing the only thing you can do is keep saying the same thing over and over again, as though repetition will make you right.
>>709141328
>the only thing you can do is keep saying the same thing over and over again, as though repetition will make you right.
THe 1/3 people have provided
>punnet squares
>simulations
>Bayes' theorem
>written explanations
>links to University Math resources
The 50% people have provided
>
1/3
>>709139108
massive idiot. the chance for upright is way smaller than for the sides.
so if you really want to.calculate this in then the answer is somewhere around 49.9%
>>709138768
100%, both on tails flipped "turn over or cause to turn over with a sudden quick movement." They both land on heads
>>709138768
Well if you know one is 100% going to be heads then you are just left with one, so that leaves it at a probability of 50% or 50/50.
Though im guessing this is completely wrong.
>>709141484
damnit dude, but you already know one of them is heads, so you just... you know what my heart isnt in it anymore. goodnight anon
>>709141484
REKT
>>709141165
ikr
>>709141605
That's right, bitch. Math beats feelings.
1/3
What if one coin landed on it's edge
>>709138768
Simulation = 33%
/thread
>>709138768
50%
The outcome of the first coin toss has no effect on the landing of the second.
This is a gamblers fallacy.
A coin can only be heads or tails and since you gave us one coin as a heads it can be disregarded as we have no need to care about it.
>>709138768
>>709142043
1/3 does not contradict the Gambler's Fallacy. Read the thread before you post shit.
>since you gave us one coin as a heads it can be disregarded
Incorrect. EITHER coin could be tails, just not both at the same time.
HH
HT
TH
all possible and all equally likely.
1/3
This thread triggered my inner autism
>>709141721
+1 fedora for you
>>709138768
X~Bino(2,0.5)
Pr(X=2|X>_1) = (Pr(X=2))/(Pr(X>_1)
= (0.5^2)/(1-Pr(X=0)
=0.25/(1-0.25)
=0.25/0.75
=1/3
t. statistics major
>>709142043
>The outcome of the first coin toss has no effect on the landing of the second.
Agreed. But it does have an effect on the landing of the first coin toss.
>>709142138
But since one of them ais the head, it is a guarantee that one of them will be head.
50% it is
>>709138768
Question isn't defined properly that's why there's so many shit replies
>>709142138
In that case HT = TH.
It's like you never studied statistics.
>>709142387
it is described as perfectly as it is faggot
I dunno, a nigger stole my coins?
>>709139867
This is the right answer, people are assuming it's the probability of A given B when it's not
>>709142348
>>709142402
There are 3 equally likely ways to get at least 1 heads.
coin1=heads, coin2=tails
coin1=tails, coin2=heads
both coins = heads
>In that case HT = TH
No, See above.
1/3
>>709138768
4x3x2x1
>>709142493
Are you fucking autistic? It literally says "given that" in the image.
>>709142292
the only guy here who knows what hes doing
/thread
>>709142213
Let's try this again, with the correct math.
>>709142802
I'm fairly sure that a lot of people know what they're doing in this pretty darn simple stats question. Not just stats majors.
>>709142819
Good job.
>>709142819
>tfw 2016 and drawing key diagrams when binomial math works it out in a tenth the time
kys
>>709142736
'A given B' is different to 'A given at least B'
I think you're the one that's autistic with comprehension skills like that
>>709142931
I was just sinking to his level and showing where he went wrong. I have a math degree.
>>709142931
Diagrams are easier for 'tards to understand, pleb.
>>709142914
lol you think he's actually a stats major
that's year 10 math and /b/ has to use tree diagrams and visualize the problem to solve this shit
>>709142982
Stop posting. You're making the 1/3 people look dumb.
>>709142931
He probably knew that but I'm guessing the picture is for the retards in this thread
>>709143008
That's definitely not year 10 math. Unless you're from China.
>>709142982
You're gonna need a bigger bait faggot.
"At least" is a stipulation of the probability defined "B," not a part of a formula. That is, Pr(B) is defined as X greater than or equal to 1.
ITT semantics. You people are all idiots for arguing this shit
The answer is explained multiple times in this thread, how can anyone still think its 50%?
>>709143097
Amerifag is mad that his education system has made him retarded.
>>709143232
I'm not from America. I also have a math degree so I'm one of the few people who understands that math and I can tell you that it's not year 10 math,.
>>709143179
Nope, OP's picture is clear and unambiguous.
>>709143179
Agreed. Yet here we are.
>>709143179
itt proper mathematical notation getting thrown out by autistic faggots pretending their grasp of english and notation is anything but autistic
>>709143282
It seems like every poster in this thread has a math degree. What year would you put it at?
There is a gambling game called 2 up based on this.
All the 50% retards are how it makes money.
>>709143446
Nah I think it's just me who's said that a few times. It's year 12 which is aged 16 or 17.
>>709142292
>>709142802
>>709142914
>>709143008
>>709143097
>>709143232
>>709143282
>Speaking to his friends over Skype
>Friend asks "Hey Anon, how have you been recently?"
>"Pretty good dude. I fucking owned this guy on an internet forum today over the probability of a coin landing on heads"
> You have been kicked from the call.
>>709143291
Doesn't specify whether they were flipped at the same time or individually. Flipped at same time = 1/3, flipped one at a time = 1/2
I keep getting
1/2 times 3/4 plus ( (1/2 plus 1/3)over two. 5/6 plus 3/8 /2 9/48 plus 40/48. 101.66666 % chance u of heads-heads. Or 2:3 that u don't
>>709143786
What?>>709143756
>Doesn't specify whether they were flipped at the same time or individually.
That doesn't matter, you stupid fuck. In all cases where at least 1 coin landed heads, you will get both heads 1 out of every 3 times.
1/3
>>709143866
If you throw them one at a time then the result of the first has a direct relation to the final outcome. If the first coin lands tails all further options are irrelevant, therefore only two options remain. Dude make a tree diagram of it if you aren't convinved. Furhermore, if they're thrown at the same time then the outsome of both coins weight in and it becomes a third
>>709143866
But the probability of a coin landing heads is independent to any other coin
Someone explain to me why it's 1/3?
I've already flipped 1 coin and it came out heads.
I only have 1 more coin to flip.
Is it in case it lands on its edge?
>>709138768
Knowledge that one has definitely landed on heads means that there is a 50% probability that the other will do the same.
>>709144279
throw both at the same time, then it will start to make sense.
>>709138768
Answer is 1.
If the coins in the photo were flipped over they would both show heads
>>709144212
>If you throw them one at a time then the result of the first has a direct relation to the final outcome.
Nigger, the whole point of the question is that AT LEAST 1 landed heads, and you don't know the result of any SPECIFIC coin, so you're talking about a different question.
You can flip the coins simultaneously, sequentially, or you could flip a single coin twice.
In ALL cases where at least 1 coin (or flips) landed heads, you will get 2 heads 1/3 of the time.
>>709144267
>But the probability of a coin landing heads is independent to any other coin
Correct. 1/3
>>709144279
>Someone explain to me why it's 1/3?
Have you not read the thread?
>I've already flipped 1 coin and it came out heads.
There's your mistake. That's a different scenario to the OP question.
>>709144441
Read the thread, you idiot.
1/3
>>709138768
The fact that they both landed on heads make the probability 100%
Are people actually dumb enough to not figure that out?
The probability you ever being in this situation is slim to none because none of us jackoffs make enough money for it to matter. So 9001 troll fags.
>>709139291
>Anonymous 10/24/16(Mon)20:22:10 No.709144297 â–¶
They mutually exclusive, dickhead. If I Win the lottery then flip a coin and call heads it doesn't make heads less likely. Twat.
>>709143521
Do you do any maths? Flipping coins are mutually exclusive events. let me make up a tree diagram brb.
>>709144486
>>I've already flipped 1 coin and it came out heads.
>There's your mistake. That's a different scenario to the OP question.
No it's not. How the fuck did I find out one of them is heads if I haven't already flipped it?
Well you made it to the graduate level of idiocy, would u like to step in, or go back. Given ur free will u will need to discern if it will supplication ur needs to turn around and leave or continue forth in this path. So u flip a coin and leave it to chance, but after the coin is flipped you remember u didn't set a condition for what the coins results would indicate u to do. So low and behold, without ever checking the coins results, u flip another coin. And state that if it is heads then kys. And Lo and behold, kys
>>709138768
The same odds as me getting 50 with this post.
[spoiler]50/50 I either get it or I don't[/spoiler]
>>709143521
Yay senpai!
>>709144486
Yeah fair enough I guess. I still think the question could be worded better but I defs get what you're saying
>>709145096
That's not how it works, faggot
>>709143521
Only allowed on ANZAC day funnily enough...it's illegal to play for the rest of the year
16.66666666666666%
>>709145441
explain yourself
>>709145270
Why not? Are you in some alternate universe where maths was taught by people with Downs?
>>709138768
1/3
>>709145534
You fell into the same semantics trap I did anon. The question is asking, 'from the three options were one coin is heads how many times do two heads appear?' The answer: one. Therefore it's a third. The question doesn't even care about how you flipped them it only cares about the four final options
>>709145534
Kek, how about you go to school first before arguing. Don't forget your math textbook in your backpack next time.
protip: read the thread, cunt
I like this thread.
I like touching rusty spoons too.
https://www.youtube.com/watch?v=M3iOROuTuMA
>>709145096
>>709145534
TH still has a head in it. Are you really that stupid?
>>709144861
>How the fuck did I find out one of them is heads if I haven't already flipped it?
The question gives you that information, you stupid cunt.
>>709144861
>How do I know whether to flip two coins or three?
By reading the question.
>>709145096
I hope this is bait
>>709145800
yes,yes he is.
>>709145830
So the coin is already flipped you stupid cunt.
its 25% you fucking idiots
HH 25%
HT 50%
TT 25%
>>709145946
it's 33.33% you cunt.
Kill yourself.
>>709146035
Why is it 33.33%?
>>709145927
>Two coins were flipped. At least 1 landed heads.
1/3. It's not difficult.
>>709146131
Read the thread.
>>709140255
-trials dont even add up
-you can have 2 results for 1 trial
code / results are fake
>>709146152
>>709146181
I'm only flipping one coin, the other one is already heads.
>>709145745
It says "given one was heads", the Shitty tree diagram still stands.
>>709145769
>>709139989
I saw the post above but it changes it so that either coin was heads. We are saying at least one coin is heads. So we take that away as per the shitty tree diagram and what do you know it's 1/2. If it is given on is heads you can't just jump across the tree diagram and make it 1/3.
>>709146271
see >>709139450
Read the fucking question retard.
Anyone who didn't say 50% is a fucking idiot. Anyone who says there are four possible outcomes from a two coin flip is a fucking idiot.
>>709146384
Well there are 4 possible outcomes but 2 of them are basically the same
>>709146252
You really are retarded.
>trials don't even add up
bothHeads is a SUBSET of atLeastOneHeads.
They are not supposed to add up to the number of trials, you moron.
>you can have 2 results for 1 trial
What are you talking about?
>>709146271
>I'm only flipping one coin,
Two coins were flipped.
1/3
>>709146319
It is not given anon. it is not a guarantee. The head is just an outcome.
H H
T H
H T
3 possible outcomes, so it must be 1/3.
>>709146035
no, it's not. there are only 4 possible outcomes (not including landing on its side).
HH, HT, TH and TT.
HT and TH are two seperate options making it a 50% probability.
>>709138768
itt dumb fucks do statistics with a weird wordplay in it to sound smart while actual engineers laugh at how retarded you all are. this is baby math with slightly difficult comprehension required (mechanical btw)
>>709146319
>We are saying at least one coin is heads. So we take that away
Oh really? Which coin do you take away, fam?
1/3
>>709146480
It literally says "given" in the question you dropkick.
>>709146483
Yeah but where's HH?
HH, HT, TH
1 out of 3 chanche
>>709146474
>Two coins were flipped.
One of the coins has already been flipped.
>>709146540
>709146540
The one that says heads and was given to us as heads in the question.
>>709146384
>>709146469
Just when I thought retards ITT couldn't get any dumber.
America must have woken up and started posting.
1/3
>>709146469
Two of them are the same. Not basically. I'm from a country where we play two up on a certain public holiday. I know this shit
50% you fucking retard probability doesn't change for random shit
people aren't reading the question... they're skimming it and missing the part "given than one landed on heads". You can disregard that coin, and the other is now a 50/50 flip.
who can get this b/ will post answer soon, me and my 3 mates (all 4th year mechanical eng) all got it wrong lol
>>709146706
No it's not you dingus
>>709146717
fuck off
>>709146589
that made no sense. but i just realised OP said that one of the coins has to land on heads, so yes, 1/3 is correct.
>>709146646
Your a dumbass.
>>709146646
Fuck what? If there are the outcomes
HH, TH, HT, TT there are four outcomes but HT and TH are pretty much the same if you taking it from a "grand total" pov but if you're doing in it in a order matters pov then they are different.
>>709146483
>3 equally likely outcomes
>50% probability
How can someone be this thick?
1/3
>>709146618
>One of the coins has already been flipped.
Two coins were flipped.
>>709146628
>The one that says heads and was given to us as heads in the question.
Which coin is that, fam? First or second. Left or right?
1/3
20 Next!
>>709146812
>HT and TH are pretty much the same
kek
American education, everyone.
>>709146812
>HT and TH are pretty much the same
>pretty much the same
>.the same
>>709146717
Shit didn't reply
>>709146884
12.5333%
>>709146856
>Which coin is that, fam? First or second. Left or right?
The one that landed on heads.. duh. /s
>>709146706
Both coins are variable, you stupid fuck. The only limitation is that the coins cannot both be tails at teh same time.
There are 3 equally likely outcomes
heads, tails
tails, heads
both heads
1/3
>>709146884
its not 20, do you want the answer?
>>709146812
There are three outcomes. HT and TH are the fucking same you morons!!!!
>>709147029
nah mate
>>709146664
im also from the 2up cuntry, and you don't know shit. flipping 2 coins has 4 possible outcomes (disregarding ops question where one of the coins has to be heads).
HT and TH are the same thing, but they still account for 50% probability, which makes HH and TT 25% each.
>>709147029
>>709146884
how come you're being this stupid?
>>709146856
The one that was given in the question if you take your eyes out of your sister's ass crack for 2 seconds you'd see that.
>>709147080
Yeah it is.. Three horses are worth 30, which is 10 each. A single horseshoe and a single boot are both worth virtually nothing so it's just 10.
>>709147070
Actually no, it's 21, fuck me im retarded.
>>709146717
42 if you use bodmas
>>709147070
nah not 33
>>709147153
I corrected myself, it's 21.
>>709147057
>HT and TH are the fucking same you morons
Oh, the ironing.
1/3
>>709147013
If one of them is given to be heads then they aren't both variable you moron. GBTS
>>709147057
It's not fucking same you dipshit.
>>709147148
ayyyyyy you got it... lots of niggly shit
>>709147146
Oh sorry didn't see the multiply sign.
>>709147129
>The one that was given in the question
At least one landed heads, but which one is it, fam?
>>709146856
>>One of the coins has already been flipped.
>Two coins were flipped.
Yea one it the past and one in the present/future.
Nobody gives a fuck about that old coin, we already know it had pic of some slut on it.
>>709146884
>>709147029
>>709147070
>>709147151
>>709147184
thanks for playing, more a tricky question then anything
TH AND HT ARE NOT THE SAME YOU FUCKING CUNTS.
LEARN TO MATH.
>>709147255
What do you mean which one is it? It is literally given as heads. If I gave you a coin that was heads and explictly told you it was heads you wouldn't have difficulty determining which one was given to be heads.
>>709147148
congratulations on your self enlightment
>>709147335
You should be expelled from your department
>>709147194
>If one of them is given to be heads then they aren't both variable
They are variable as either coin could be tails, you stupid prick, just not both simultaneously.
Flip 2 coins. At least 1 landed heads. You could have
>coin1=heads, coin2=tails
or
>coin1=tails, coin2=heads
or
>both coins = heads
3 equally likely and valid outcomes all containing at least 1 heads.
1/3
>>709146487
Engineering student here, sent it to my eng friends and they had a 50/50 split between 1/2 and 1/3 even though we just completed a semester on probability and statistics
>>709147387
but it's flipped, anon. it's landed on heads, does not mean it has 100% chance landing on heads
>>709147111
HT and TH are the same so they account for 33.3%. TT accounts for 33.3% and HH accounts for the last 33.3%. In other words there are 3 possible outcomes from a two coin flip. There are 3 outcomes you can bet on when you are playing two up. Know if you toss one coin and it lands heads there is a 50% chance the next coin will land heads. I hope you idiots learned something
>>709147268
>Yea one it the past and one in the present/future.
No, they were both already flipped. At least 1 landed heads.
HH
HT
TH
1/3
>>709147335
Yeah it's all well and good but who says that a pair of boots that costs $2 will only cost $1 for one boot. One by itself is virtually useless. Same goes for the horseshoes.
Seriously though, how did none of you get the answer for that?
>>709147480
You mean a 33/66 split?
>>709147480
Sad to hear that, anon.
Seems that you guys have no hope in engineering major.
>>709147521
Yes it does when OP literally told is it's Heads.
>>709146717
Elaborate bait
>>709138768
50%
>>709147387
>What do you mean which one is it? It is literally given as heads.
Which one?
>If I gave you a coin that was heads and explictly told you it was heads you wouldn't have difficulty determining which one was given to be heads.
No. But if I was blindfolded and you flipped 2 coins and told me at least one landed heads, how am I supposed to know which?
Could be coin1, could be coin2, or both could be heads
HH
HT
TH
3 equally likely outcomes
1/3
>>709147558
>HT and TH are the same
you should've learned something first
>>709147558
Oh god, I haven't seen that brutal slaughter of mathmatics in ages. Just because the outcomes are the same does not mean the chances are the same. If I have 100 red balls in a pit and 1 blue ball. Picking out 1 red ball is the same as picking out the other 99 balls so it's 50%
>>709147480
50% of your engineering friends are retarded.
The answer is 1/3.
>>709147558
>HT and TH are the same
Jesus Christ.
>>709147629
Any coins which flipped has 50-50 chance on landing on heads
see>>709147685
>>709138768
Well the thing is that this depends on how you look at it. If the question was "What is the probability that when fliping a coin two times in a row that both flipps landed as heads" Then the awnser would be 25%. However As the question is phrased right now the probability is 50%. When you have a 50/50 slit on the possible outcome then what came before dosen't matter the odds are still the same.
>>709147685
It doesn't matter which. If one is definitely heads then it can be counted out. Which head it is does not matter in the slightest. So we count for the other coin whichever one it is and assume we can't see it so its only 1/2. Which coin is heads and which coin isn't doesn't change anything.
>>709147836
>retard thinking he's smart.
It's 1/3, you stupid cunt. Read the thread.
>>709147758
You're an idiot. You have personally made me lose faith in the intelligence of people. Congratulations sir
>>709147935
>If one is definitely heads then it can be counted out.
>it can be counted out.
Which 1 can you count out?
The main problem people are having with this question is how you flip the coins. If you flip the coins one after another, it's 50%, if you flip the coins at the same time, it's 33%.
>>709147796
I am well aware of the chance of a coin landing heads or tails but since one is given to be heads it can be counted out and the other coin is 50% chance of being heads.
it's surprising seeing how uneducated america is.
Here's some tip, the answer is 1/3
ISIL SAYS: heads i win, tails you lose
enjoy your dead families and life 6 feet under. YOU ARE THE CANCER AND DEMISE OF OUR NATIONS TO ISIS. LAZY TRAINEES AND /R/ECRUITS HAVE GONE SOFT ON /B/ AFTER OWNERSHIP TAKEOVER. GZ
>>709145325
-the general
>>709148028
>If you flip the coins one after another, it's 50%
That's wrong, you stupid cunt.
You can flip the coins simultaneously, sequentially, or you could flip a single coin twice.
In ALL cases where at least 1 coin (or flips) landed heads, you will get 2 heads 1/3 of the time.
>>709148028
I take that back, it's 33% either way.
>>709148090
Well done, now get the fuck out
>>709148039
>but since one is given to be heads it can be counted out
And which coin is that?
>>709147935
> It doesn't matter which. If two are definitely heads then they are correct. Which coins they are do not matter in the slightest. So we count for those coins whichever ones they are are and assume we can't see them so it's 100%. Which two coins are heads and which aren't doesn't change anything.
This is the same as your logic.
>>709148008
The one that was given as heads. It doesn't matter which coin it is. Close your eyes and pretend it doesn't exist.Which makes the remain coin 50% because they are mutually exclusive events.
>>709139450
T and H
And
H and T
Are the same fucking thing. It didn't ask for the order. It asked whether both would be heads or not. In those two cases, both are not cases of 2 heads.
The question has two categorical answers: both landed on heads, or one was tails. Order does not matter.
"One landed on heads". In a practical, tested scenario, either the second or the first coin is definitely heads. Therefore, it can be disregarded and the results are left to the next 50/50 coin.
>>709148216
No they're not. it is not to be counted out.
>>709148239
>Are the same fucking thing
You're so funny, anon.
>>709148260
Right so If I'm in mexico and I flip a coin that lands heads and you're in poland and you flip a coin the universe will conspire to make your coin less likely to be heads.
p(A given B) = P(A and B)/p(B)
p(0.5 given 0.5) + (p(0.5) * p(0.5)/p(0.5)
0.5 = 0.25/0.5
therefore 50%
>>709148260
Yea it can. The outcome is already decided. The coins are identical and therefore which coin it is, is irrelevant.
>>709148216
>The one that was given as heads.
At least 1 landed heads. No specific coin was given as heads, you retarded fuck.
>coin1=heads, coin2=tails
or
>coin1=tails, coin2=heads
or
>both coins = heads
3 equally likely and valid outcomes all containing at least 1 heads.
1/3
Do you understand now?
If I said to you that 2 coins were flipped, and the FIRST coin landed heads, then the answer would be 1/2.
If I tell you that 2 coins were flipped, and AT LEAST 1 landed heads, then the answer is 1/3, because there are 3 equally likely ways to get at least 1 heads coin for a 2-coin flip.
>>709147564
I still don't give a fuck about it because I know It's heads.
You have all read the question completely wrong and OP worded it like a retard.
If I flipped a cow and a goat and tell you the cow landed on its head.
What is the probability of the goat landing on its head?
Is not the same as
If I flipped a cow and a goat and tell you that one landed on its head.
What is the probability of the goat been the one to land on its head?
>>709147480
yeah, they were probably learning much harder shit then that though, not basic tricky questions
>>709148349
>>709148408
It is not given, read the question fuckhead.
it says at least, do you understand the difference?
>>709148239
>T and H
>And
>H and T
>Are the same fucking thing.
Kill yourself, anon.
>>709148421
The coins are the same so it doesn't matter if coin #1 was heads or coin #2 it doesn't matter. They are the same. GBTS
The probability that one of the coins lands on heads is 1/2. To get the probability for both coins you have to divide 1/2 by 2, and you get 1/4. The correct answer is 1/4.
>>709148510
>it is not given
>given that at least one of them landed heads
I think you'll find you're a fucking retard.
>>709148421
Your an idiot and serve no purpose to humanity. Drink bleach and do the world a favour
>>709148547
Are you baiting?
>>709148397
>fucking up Bayes' theorem this bad
This is a conditional probability question, so use Bayes' theorem to solve.
P(A|B) = P(A∩B)/(P(B))
Explanation for faggots:
COnditional probability questions take the form:
>What is the probability of Event A given Event B?
OPs question is
>What is the probability that BOTH coins landed heads, given that AT LEAST ONE coin landed heads?
So here
A = "both coins are heads" = {(HH)} = 1/4
B = "at least one coin is heads" = {(HH), (HT), (TH)} = 3/4
P(A|B) = P(A∩B)/(P(B)) = (1/4)/(3/4) = 1/3
>>709148547
One of them is given as heads though.
>>709138768
If one already landed heads, then you're down to 50% because the coin isn't a part of the equation.
If you're flipping both and cosmically one has to land heads it's 33.3%
>>709148408
>the coins are identical therefore they are the same coin
Goddamn, you're retarded.
>>709148305
Completely serious. Because it is a categorical question: two heads or not two heads. Both scenarios
T+H
And
H+T
Are the same and count for 50â„… because >>709148408
>>709148624
it says at least. means it opens to any coin.
it's not given that one of the coin has 100% chance of landing on heads.
>>709148547
>>709148513
You both need to die
>>709148530
>coin1 and coin2 are the same coin
Kill yourself.
1/3
>>709148717
That's not what I said at all.
>>709148796
The coins are the same so it doesn't matter which coin gets it.
dickhead.
>>709148776
>Basic conditional probability question solved using Bayes'
>wrong
Never have children.
1/3
>>709148915
You must be trolling at this point. Nobody can be that retarded.
>>709148836
Very creative. Maybe you should put that effort into your school work instead of being so very wrong.
>>709148796
It doesn't matter which coin it is!
They are fucking identical!
As I said here >>709148696 it's about semantics, if you're flipping both simultaneously then 1/3;
But the question said one already landed heads so you're looking at H ?, T H can't exist because the first coin is already H, as stated in the question.
>>709148916
Your formula wasn't wrong. Your assumptions were.
>Never have children
Please stop breathing to save the oxygen for the worms. They don't eat as much shit as you.
Lucifer isn't Love, God is love, you might love God or Lucifer or both. So there is 1/3 chances you choose Lucifer. And God ask you love of your enemies. So really, if you don't need love and are courageous as an angel, if you want nothing as is asked no power and humility, you say 1/3 of angels go for Lucifer which chose love but not Love... Once I will tell you why.
Smart enough? But where is ylyl? It's name is Lucifer in Hebrew. Do you still like Jews, as they show up? With one of their angels. Love enough? Look for it and look for God. Ylyl told you it's war for God, do you still believe?
>>709138768
>What is the probability that both landed heads
HH
HT
TH
TT
1/4
>given at least one landed heads
HH
HT
TH
1/3
>>709148732
TH
HT
HH
TT
since it's at least that one of them lands on the head, we cross the TT from the result before the coin is flipped.
Thus
TH
HT
HH
when the coin is flipped, one of them landed on H
T H
H T
H H
it's one of the third chance that you'll be getting a HH.
Fucking middleschoolers.
>>709149007
The coins are, anon. the chances are not.
>>709148953
Where do you get your 144p education from?
>>709149127
But you're given the first is heads not one lands heads.
>>709146474
if bothheads is a subset of atleastoneheads, then you need to subtract bothheads from oneheads before calculating the probability for oneheads, since you increment both in the case of having bothheads
>>709149104
Lucifer is an angel, so courageous, so there are no ennemies for him, only love like God asked him. But he isn't god. So once he will be better and not worry his God by its mistakes
>>709149214
At least he got some education fuckhead
>>709149215
>given the first is heads
Where does it say that in OP's pic?
>>709149078
>Your assumptions were.
Assumptions
1. a regular coin will land heads ~50% of the time when flipped.
2. Flipping 2 regular coins can have the following 4 equally likely outcomes:
>heads, heads
>heads, tails
>tails, heads
>tails, tails
3. For all 2-coin flips containing AT LEAST 1 heads coin, both coins are heads 1/3 of the time
1/3
REKT
>>709149171
If the coins are identical then the order doesn't matter. you have assumed one coin is heads. Which makes it given. you can then say it's 1/2 chances.
>>709149263
For a Word to stay on one shall :
Shall not say yes or you betrade
Shall not say no or you go off
Shall not say 'shall not worry' or you forget your task
Go for love of your girlfriend without a betrade nor a worry for her. Don't worry ;)
>>709149277
I'm enjoying my accredited university education now mate. How's 8th grade?
>>709149329
Jesus anon. I was kidding about it's being the same coin in literal sense. sorry you didn't catch that.
yes, it is assumed one of them is heads since I read the question.
>>709148664
>B = {(HH), (HT), (TH)}
listing equivalent items inside a set is redundant
HT = TH, or more accurately, {H, T} = {T, H}
>>709149317
Since it uses past tense on land, it says landed.
It's a matter of tense.
>>709149410
Check out this faggot.
>>709149410
Oh sorry mate, I already graduated. I don't deal with students anymore.
>>709149472
At the same time it's 1/3 if one already landed head and you're going to flip a second coin it is 1/2
>>709149502
Check out this faggot.
>>709149218
No.
atLeastOneHeads is only incremented one time where one or both coins are heads.
Lear to read code, anon.
It's really very simple.
Flip 2 coins 1000 times. You would expect to get on average:
HH ~250 times
HT/TH ~500 times
TT ~250 times
HH + HT/TH = 750 total at Least One Heads
250/750 = 1/3
>>709149460
>{H, T} = {T, H}
Trollbait
3/10
Answer = 1/3
>>709149561
How can you have 2 different chances when the only difference is time between events?
You have all read the question completely wrong and OP worded it like a retard.
If I flipped a cow and a goat and tell you the cow landed on its head.
What is the probability of the goat landing on its head?
Is not the same as
If I flipped a cow and a goat and tell you that one landed on its head.
What is the probability of the goat been the one to land on its head?
>>709149659
Because he's retarded.
Answer is 1/3 for both.
>>709149472
Yeah, but both landed. So there's still no "first." It is told that one of them is heads.
>>709149561
Doesn't work like that.
>>709149460
>HT = TH
how did you fucked up so bad?
