How smart is /b/?
25%
The euro is a failure anyways
fuck off
>>703462411
50 percent nigger. Also this isn't math, this is reading comprehension.
42.7%
>>703462633
>this isn't math
>gets the math wrong
Ok so since we know that one of them is head, we have the following possibilities:
H-T
H-H
Where the first coin is head
T-H
H-H
Where the second coin is head.
4 cases, 2 of them are both head, 50%
>>703462633
/thread
>>703462514
>>703462633
>>703462653
Retards detected.
The answer is 1/3.
Flip 2 coins, 4 equally likely outcomes:
heads, heads
heads, tails
tails, heads
tails, tails
at least 1 landed heads, so tails,tails no longer a possible outcome, leaves 3
heads, heads
heads, tails
tails, heads
1/3
>>703462699
how is he/she wrong?
>>703462712
Dumbass, you listed 3 equally probable possibilities.
H-H
H-T
T-H
1/3
97% chance that you will get oentardi'd
>>703462712
>lists HH twice
How can you be this retarded?
1/3
>>703462411
i have book about probability with answer, but it's somewhere in the closet, and its very unprobable for me to overcome laziness and get it. But have Taylor Swift anyway.
>>703462829
Because the correct answer is 1/3.
>>703462699
Nigger, one already landed heads, this is isn't rocket science.
>>703462829
he isn't
1 coin is guaranteed to be heads, leaving only one coin to be flipped, meaning only one coin has odds that are relevant to the question.
the coin has 2 sides. 100/2=50
50%
>>703462964
At least 1, you stupid faggot. it could be either coin, giving 3 equally likely scenarios
HH
HT
TH
HH is 1 of those 3
1/3
>>703462864
H-H Come up twice, since it's a possibility both when the first coin is always head as well when the second coin is always head, so you have to count them twice
>>703463018
>1 coin is guaranteed to be heads, leaving only one coin to be flipped, meaning only one coin has odds that are relevant to the question.
No. 2 coins were flipped and either of them could be tails, just not both. So you could have
coin1=heads, coin2=tails
or
coin1=tails, coin2=heads
or
both coins heads
1/3
>>703462411
If your answer to this one is any different than the answer to the one the OP posted, you are retarded.
you stupid autists are so fucking retarded.
one coin is guaranteed to land heads so the only remaining factor is the other coin, 50/50 chance it will land heads
>>703462796
autist deduction
the only possible outcomes remaining are
tails heads
heads heads
because coin 2 is already heads
autist
go kill yourself for being so autistic you fucking downs syndrome faghorn leghorn
>>703463044
>H-H Come up twice
H-H can only come up once, you stupid fuck, like H-T and T-H
>so you have to count them twice
>counting 1 outcome twice
You are so fucking retarded.
1/3
Let me put it like this
one coin is heads
what's the probability that the other one is heads?
1/2
Also, how can you be so offensive, /b/? What if second coin is bi-sided? What if, no mater what side it falls, it still feels like a headtail coin with many tendencies?
HT and TH are the same thing autist
please go drown in the nearest sink
>>703463179
>>703463018
>getting the correct answer is autism now
Damn, son, you're buttfuck retarded.
If the FIRST coin landed heads, the answer would be 1/2
If AT LEAST ONE 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
>>703463129
No
One coin is guaranteed to be heads so we take that coin out of the equation
if one coin is guaranteed to be heads, what is the probability the the only other coin will flip heads?
100/2=50
this is not hard math
in all 3 of the instances that you listed, each has a heads that is 100% guaranteed because of the initial question. and in each of those 3 instances you listed there is a second coin that is not guaranteed to be heads.
once again 100/2=50
50%
>>703463331
>HT and TH are the same thing autist
This is what retards actually believe
penny=heads, quarter = tails
is NOT the same as
penny=tails, quarter=heads
Kill yourself.
The answer is 1/3
>>703463032
Alright, I'm the nigger. Sorry faggot.
>>703463370
your picture has a differently phrased question
your logic does not pertain to this thread
calling people names does not lead to a productive conversation
>>703463370
There's no "first".
One landed heads, that's it.
What are the odds that both landed heads if you already know that one of them landed heads?
>Autistic answer: 1/3
>>703463403
being this basic. if it had said, ''The left coin lands on head'' then you could take it out of the equation. But since it does not specify wich one you can't. So the one that will land on heads nomatter what, could be the left or right coin.
>>703463403
>so we take that coin out of the equation
No, dumbass. See link
Washington University Math Dept. (See Slide 4)
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf
See post here >>703463370
1/3
You're not getting the probability of a siongle coin landing heads. You're getting the probability that BOTH coins landed heads when at least 1 coin landed heads.
There are 3 ways to get at least 1 heads coin for a 2-coin flip
HH
HT
TH
HH is 1 of thsoe 3 ways
1/3
>Retard answer: 1/2
>Correct answer: 1/3
Disregarding the bad question grammar, the possibilities are:
Bottom-Bottom
Bottom-Head
Head-Bottom
Head-Head
Because 'at least one head' is enough to suffice, the chances are 3 out of 4 possible constellations - or 75%.
Also: Germany ftw
>>703463568
ok pal, see link >>703463534
For any of the retards who think the answer is 50%, answer Pic related
>>703463370
source: autism university
nothing will cure your autism
please drink a sufficient amount of bleach to kill yourself
>>703463472
drink whatever bleach abovefag has left, autist
the types of coins do not matter
if one coin is guaranteed heads, there are only two possible outcomes which you fail to understand, switching the order of the coins around does not mean new outcome, it just means you're an autist
your mother clearly dropped you on your head as a child, please instruct her to finish the job
>>703463689
3 out of 4 have at least 1 heads
1 out of those 3 has both heads
1/3
>>703463694
once again, that is a differently phrased situation
>>703462411
>>703463711
>gets a basic conditional probability question wrong
>HURR DURR autist HURR
I'll take a large fries with that, thanks.
1/3
>>703462796
Captain over-complication over here
If a coin is guaranteed to land heads then it's as if someone has just placed it heads up on the table
Then all there is to do is flip one coin which has a 50% probability of landing heads
Christ.
>>703463711
>if one coin is guaranteed heads
Which coin, faggot?
mathematically it's 1/3, although there is no fucking way that's right, and in the end it' 1/2 as the they are independent events
>>703463763
Yeah. Same question reworded. Same answer.
1/3
>>703463840
It doesn't matter you autistic retard
>>703463711
kys tard
>>703463763
No, it is not.
Read the first goddamn post,
>>703462411
Atleast one coin WILL be heads, every single time. The other coin may be heads, may be tails. 50% outcome.
>>703463840
it doesn't matter, autist
if one coin MUST be heads,
the other coin can only be heads or tails
this is only hard to understand if you're a faggot that believes HT is different from TH when it's the same combination of coins in a different arrangement, an irrelevant bit of data
fucking
autism
everywhere
in this fucking thread
>>703463840
it doesn't matter which coin is heads as long as one of them is guaranteed to be heads.
that leaves one coin that is relevant to the question. doesn't matter which because the other is heads.
50%
>>703463876
/thread
>>703463694
Saying tails-tails isn't the result isn't the same as saying that one landed heads, you fucking idiot.
The problem CLEARLY states that ONE LANDED HEADS. If you know one landed heads, what are the odds that both landed heads?
Again, remember ONE landed heads, how about the other? You only have to worry about one coin here, not two. You already know one of the outcomes.
>>703463832
>If a coin is guaranteed to land heads then it's as if someone has just placed it heads up on the table
No, you retard.
2 coins were flipped, and at least 1 landed heads. it landed heads by chance. it could be EITHER coin, meaning EITHER coin could be tails, just not both.
Do you understand the difference between placing a specific coin as heads on the table and flipping a coin which COULD land tails?
In your scenario, a specific coin is FIXED as heads, and teh answer would be 1/2/
In OP scenario, NO coin is FIXED. Either coin could still be tails. This leaves 3 equally probable outcomes which all contain
>At least 1 heads coin
HH
HT
TH
All 3 of those are still possible. All 3 are equally likely.
1/3
>>703463876
its 1/3 you tard if youre so retarded you dont understand it then do it yourself tard, flip 2 coins 300 times tard and count it out tard
>>703463985
i like you
50% is truth
>>703463941
it's the same you tard, either way is just saying there aren't 2 tails/there's at least 1 heads, tard
>>703463032
>HT
>TH
u wot m8
For all you tards that cant understand this coz youre a tard, flip 2 coins 300 times (or write a program to do it for you), ignore the times they both land tails, and count the rest, it will be 1/3 having both heads
>>703463893
>>703463985
>>703464019
Yes, it does matter, you stupid cunts.
Take a penny and a quarter.
Each coin has a 50% chance of landing either heads or tails. You flip both coins. What are the possible outcomes? Well, let's see:
penny = heads & quarter = heads
penny = heads & quarter = tails
penny = tails & quarter = heads
penny = tails & quarter = tails
4 possible outcomes. Each of them equally likely to occur (25% or 1/4)
Now, surely we can all see how the results,
penny = heads & quarter = tails
and
penny = tails & quarter = heads
are different, right? Surely you can see how these are two distinct, separate and equally probable outcomes, yes?
Great, let's continue. Now, it DOES NOT MATTER if you are using two identical coins. HT & TH are two distinct results, and the probability of at least one of them occuring is TWICE the probability of a HH or TT outcome. Remember HT(1/4) + TH(1/4) = 1/2.
So, since we know that TT can't be the result in the OP question, it is discarded, and we are left with the possible outcomes:
HH (1/4)
HT (1/4)
TH (1/4)
Three equally probable outcomes containing at least one heads, hence the answer = 1/3
ITT: Retards who are unfamiliar with conditional probability
This is similar to Monty - Holl problem and the answer is 1/3
>>703464064
>Saying tails-tails isn't the result isn't the same as saying that one landed heads
At least one.
Answer the question, tard.
Protip: It's' 1/3
>>703464076
>2 coins were flipped, and 1 landed heads.
>NO coin is FIXED
>This leaves 3 equally probable outcomes
>3 outcomes
>3
>2 coins
>1 heads
>3 outcomes
>>703463876
>mathematically it's 1/3, although there is no fucking way that's right
Are you fucking retarded?
>Math says 2+2 = 4
>there's no way that's right
Kill yourself.
1/3
>>703463960
>Atleast one coin WILL be heads
Could be either coin
heads, tails
or
tails, heads
or
both heads
1/3
>>703464131
You're pretty dumb I take it?
You just argued against my agreement with my agreement.
>>703464448
yeh clicked on the wrong tard, whatever
>>703464280
There are 2 "girls" standing in front of you.
At least 1 is a trap.
Do you still think it doesn't matter which?
1/3
>>703463167
If this was the OP I would as a stretch say 0 because the answer would be in the question that only one landed heads instead of saying so far only one landed heads
Simulation confirms 1/3
>>703462411
Three possible outcomes
Heads - Tails
Tails - Heads
Heads - Heads
1/3
>>703463985
I really hope you don't have to work with numbers when you're a grown up.
49%
Heads part is always heavier, thus it's more likely to land on tails
>>703464535
>>703463167
0 is correct for this question.
1/3 is correct for OP question
>>703463985
>thinks HT and TH are the same
kek
>>703464520
>2 girls
>1 is a trap
>1 in 3 chances of it being a trap
>1 in 3
>2 girls
You're digging yourself into a hole here, pal.
>>703464588
It's 50/50 lmao, cmon guys
>>703464704
At least 1 is a trap.
>>703464684
>thinks 3+1 is different than 1+3
>>703462411
I think a lot of the confusion here come from the two different ways the question can be interpreted. Does at least one coin always land on heads? Because if that's the case, just picture flipping a coin while you have the other already on the floor facing heads.
>>703464235
your understanding of this seems to assume that it matters which coin is which when the OP's image never mentioned such
the only thing that matters is heads or tails, the types of coins make no difference
if one coin is always H, you can have either
HH
or HT
TH is the same as HT because one coin is heads, the other is tails, their order is irrelevant
it doesn't matter if one's a penny and one's a quarter because the question isn't "flip a penny and a quarter, ..." it's "flip two regular coins, ..." and the question posed is "what's the probability they will both land heads given that one will land heads?" not "what is the probability that they will both land heads given that either the quarter or the penny will land on heads?" which is the question you keep answering instead of the one actually asked
no matter how you arrange the coins, one is always heads, so the other can only be heads or tails, it's 50/50
i've never seen autism so powerful
i'd say 33% if you assume 1% chance of edge
>>703464832
They aren't equal
The outcome is
1+3=x
3+1=y
x=y
1+3=/=3+1
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
im too high to try to figure this out
>>703464832
This isn't addition, pleb, this is probability of events.
HT is a different event to TH.
im too high to solve this
im too high to calculate this
>>703464953
>3+1 isn't equals to 1+3
>being serious about it
>calling others stupid and bad at math
>because 3+1 ≠1+3
>mfw 4 ≠4
Is this what common core teaches you kids these days?
>>703465030
thanks based fam
>>703465083
But either way, there is one head and one tail... so it's one probability. 50/50 bitch
>>703464904
>if one coin is always H
OP question never states this, you fucking retard.
>2 coins were flipped. At least one landed heads.
1/3
>TH is the same as HT
Never have kids.
Knowing the correct answer to a basic conditional probability question isn't a sign of autism, you simpleton.
The answer is 1/3. Explanations and solutions already given in this thread include:
>Bayes' theorem
>Punnett squares
>simulation
>Probability trees
>graphical illustrations
>written explanations
Clearly that's not enough for the retards to understand.
Here, have a Venn Diagram
1/3
>>703464510
Btw, your overzealous use of "tard" screams you're a child
>>703465269
Geting 1 head and 1 tail is TWICE as likely as getting 2 heads, simpleton.
HH = 1/3
HT/TH = 2/3
1/3
im so high im just sittin here fapping to maths
1/3 you fucking retards. Take a goddamned statistics class.
>>703465220
Fucking retard
I'm saying the outcome is same the only difference is the course of action
>it isn't same when you press gas three times and then turn on the car
And when you turn on the car and press gas three times
>the car still won't move until you press the clutch and put the car in first speed
>the outcome will be same but it's not a same course of action
>>703464575
haha
attempt confirmed
fail regardless
>>703462960
So why wouldn't tail/heads be counted out?
>>703465467
Why are you arguing with a retard who thinks
>01 = 10
Just let him serve the fries in peace.
Another simulation confirming 1/3
Ok I just flipped two coins 10 times and at least one landed on heads 3 times. This is close to 1/3. I wonder if this works with tails too
>>703465557
>haha fail
>doesn't explain what is wrong with it
You can't even read code, can you?
This is basic misinterpretation to make others look stupid. Kinda funny? 4/10 overused
>>703465625
It's my duty to feed the trolls
>>703465586
>So why wouldn't tail/heads be counted out?
Because it's a valid outcome. The condition of at least one coin landing heads only eliminates tails/tails as a valid outcome.
The other 3 outcomes are all still valid and all equally likely.
1/3
>>703465772
Ok, makes sense
>>703465751
>This is basic misinterpretation
How can the question be responsible for retards misinterpreting it?
>>703465467
So one coin landing (heads or tails), is not the same as it landing (tails or heads), because the other coin landing (heads or tails) is not the same it landing (tails or heads), right?
Got it.
I feel smarter already.
>>703462411
50% you fucking idiot
the question tells you that one will ALWAYS land on heads, so now you only have one coin to worry about, and that's either heads or tails, 50/50
>>703465876
>Hurr DUrr I was only pretending to be retarded Hurr
Too late, faggot.
>>703465625
>thinks 0+1 and 1+0 have a different result
>is being serious about it
>>703465959
>the question tells you that one will ALWAYS land on heads
>one will ALWAYS land on heads
>will ALWAYS
>the question tells you
No, it doesn't.
1/3
>>703466011
>thinking this has anything to do with addition.
Do you know what binary is?
>>703466025
>given that at least one of them landed on heads
can you not read?
>>703462411
only options are HH HT and TH, so 1/3
>>703465692
Your post shows you cannot.
Please extrabolate the code for us.
>>703466025
>Given that at least one of them landed heads
>one of them landed heads
>ONE OF THEM
>LANDED HEADS
HUURRRRRRRRRRRRRRRR NOT ALWAYS HUUUUUUUUUURRRRR
>>703466090
which coin though? if you don't know which coin it becomes 33%
>>703466124
but its a GIVEN that means you assume there's always 1 minimum coin landing on heads
>>703466167
it doesn't matter they're both the same coin
you guys are over thinking this and making yourselves look silly
>>703466069
>Problem asks for HH
>You already know you'll have 1 H
>Doesn't think all you need to do is to add another H
>Is being serious about it
>>703462633
This. If it is genuinely random then past occurrences don't affect future occurrences.
>>703466111
HT and TH are literally the exact same thing though
>>703466197
>LANDED HEADS
NOT ALWAYS LANDED HEADS HUUUUUUUUURRR HUUUUUURRRR
>>703466250
where does it say it's the same coin? and even then it does not state which toss is the heads, if the question stated which coin/toss was heads i would agree
>>703466321
>HURRRRRRR
NOT ALWAYS BUUURR NOT HUUR DURR
>>703466389
its common sense, come on, you only have 2 coins and one of them at least is gonna be heads
>>703466316
>HT and TH are literally the exact same thing though
If you're not trolling, kill yourself.
>>703466286
Knowing that one coin will land heads does not influence on the outcome of both landing heads, at all, right?
Got it.
>>703466521
tails and heads
heads and tails both have one head and one tail, nothing more nothing less, both are the same
>>703466250
>it doesn't matter they're both the same coin
>2 individual coins are teh same coin
This is what the 50% faggots believe.
1/3
>>703462411
1st scenario
Left coin lands on heads.
Right coin can land on either, tails or heads. Giving a 50% chance of getting 2 heads.
2nd scenario
Right coin lands on heads.
Left coin can land on either, tails or heads. It's an identical case, so 50%.
You guys lack common sense. You can't use the
H H
H T
T H
T T
chart in a scenario where the landing of a coin is predetermined. The rules have changed, so you can't cross out T T and leave 3 cases remaining to make it appear as a 33% chance. 1 coin is already SET on heads not actually tossed, "tossing" it is only done for the show so you can treat it as a coin with two heads, which means you're only flipping the second coin.
>>703464575
Not the same problem. Your program flips both coins. The original problem states that at least one coin lands on heads. Therefore, if your program possibly generates two tails, you can't use the program by excluding those results. It's generating a different set of conditions.
You could use it to determine both heads have a 25% chance if no combinations are excluded, but not OPs question as stated.
>>703466459
yes, but you have 2 coins, and 2 oportunites to get heads, the fact is that if you have the first coin be heads, then the other must be tails or heads, but if the first is tails then the other must be heads, giving 3 different possible outcomes giving the answer 1/3
>>703466316
are you literally retarded?
>>703466197
https://www.youtube.com/watch?v=s1X2b0kq9EE&feature=share
>>703463694
25%
>>703462796
P(A | B) = P( A ∩ B) / P(B)
Let A be the event of two heads
Let B be the event at least one head
Possible outcomes are:
HH, HT, TH, TT
P(A ∩ B ) = P( HH ) = 1/4
P(B) = P( HT, TH, TT) = 3/4
P( A | B ) = (1/4) / (3/4) = 1/3 the math checks out this anon is right
>>703466587
They are 2 separate and distinct outcomes, you retard.
They each have a probability of occurring.
Are you 12?
Flip 2 coins, all possible outcomes and their probabilities are:
HH = 1/4
HT = 1/4
TH = 1/4
TT = 1/4
If at least 1 coin landed heads, only TT is eliminated, leaving 3 equally like outcomes, ALL satisfying the condition of having AT LEAST 1 heads.
HH = 1/3
HT = 1/3
TH = 1/3
HH is 1/3
>>703466694
I'm telling you the order of the coins doesn't matter at all
>but nuh uh! a tails on the right is completely different from the tails on the left cause its LEFT xDDDDDDDDD cause the question said the order of the coins was important!!
>>703466559
Yes. In fact nothing affects it, the more times you flip the coin and record the result the closer it will get to 50%.
>at least one of them landed heads
Order doesn't matter, then H-T and T-H are the same
If it was
>the first landed heads
Then order did matter and H-T and T-H are different entities
But in the first case the probability of H-H given H-x is 50%
>>703466996
that's what I'm trying to tell these retards
>>703466615
>so you can't cross out T T and leave 3 cases remaining
>doesn't know how conditional probability and Punnett squares work
Toss 2 coins. At least 1 landed heads, so you could have
left coin = heads, right = tails
or
left coin = tails, right = heads
or
both coins = heads
Those are the only 3 options. All 3 are equally likely.
1/3
>>703462796
Given that a coin has landed on heads, TH and HT are the same outcome.
>>703466798
No.
What the fuck is going on here? Why the fuck are you guys arguing like a fucking scholar giving links, citations, examples and reference? What happen while I was out?
>>703462796
Correct but a waste of time trying to explain basic logic to /b/
>>703467051
I'm pretty sure they're just not understanding the meaning of "at least one"
Either that or they're all trolling
>>703466996
>H-T and T-H are the same
They are never the same and you are retarded.
>>703462411
the answer is 0% because the Euro collapsed while you weren't looking, and people are stealing the coins and melting them down for the metals
unless you don't use the shittest currency since seashells
then it'll be 50%, because the flipping of a coin is an independent variable, so the landing of one on heads doesn't affect the landing of the other.
TT
TH
HT
HH
first one is H
so now we have the following possibilities
HT
HH
you fucking inbred transniggers
>>703467060
Left and right are a perspective, so you're wrong.
>>703467236
At least one doesn't imply order go back to school newfag
>>703466286
The problem with my math was I discounted a factor: the coin isn't a past occurrence. It's assumed they are flipped at the same time, so there are two chances for heads+tails, one for heads+heads, and 0 for tails+tails.
There are exactly four possible outcomes when flipping two coins, each of the four ways is equally likely. These are:
H,H
H,T
T,H
T,T
Given the information that one is going to be heads. We can eliminate the possibility of double tails which leaves us with:
H,H
H,T
T,H
There are 3 possible outcomes now.
its a 66% OR 2/3 chance they come up:
H,T
T,H
That leaves us with a 33% OR 1/3 chance of it coming up:
H,H
Do you understand now 50% monkeys?
>>703467088
>TH and HT are the same outcome
No, they are not.
I toss a penny and a quarter. One of them landed heads.
Is it the penny or the quarter?
Is penny = heads, quarter = tails
the same as
penny = tails, quarter = heads?
If you think they are the same, you are retarded, anon.
1/3
If one has already landed heads we don't really need to worry about it.
So whats the probability of a coin landing heads or tails. Most people will say 50/50 which is understandable but a coin isn't 2D so we have to account for the slight chance of it landing on it's edge which is a very tough question because of all the factors that go into flipping a coin on its edge.
There is a Harvard Document stating the chance of an American nickle has a 1 in 6000 chance to land on its side
1 in 6000 = 0.016666666666666666%
Since we need to change the probability of a coin toss being 50/50 we need to factor in the 1/6000 so the end result should be
49.9916666667/0.01666666666/49.9916666667
So for it to land heads is 49.9916666667%
>>703464704
There's a 2/3 chance of any one girl being a trap, moron
Trap, Girl
Girl, Trap
Trap, Trap
If you go for girl 1, there's a 2/3 chances it's a trap. Same for girl 2.
>>703462411
(1/2)^2 = 0.5*0.5 = 0.25
>>703467088
Does it specify which quarter landed heads up?
didn't think so
>>703467300
There are 2 separate coins, you fucktard. This means there are 2 WAYS to get 1 heads and 1 tails, and only 1 WAY to get both heads.
HH = 1/3
HT/TH = 2/3
1/3
>>703466615
This problem is a good example of why "common sense" is fail. It's for people who don't want to or can't think about things properly.
Stop using your assumptions, AKA "common sense" and use your brain.
>>703467316
>Do you understand now 50% monkeys?
The 50% faggots are either trolling or retarded.
>>703467432
If you do (1/2)², then you're still including the chance that neither will land heads, which is impossible.
>>703467360
>If one has already landed heads we don't really need to worry about it.
Both coins are variable as you do not know WHICH coin landed heads.
The rest of your post is incorrect because of your initial assumption.
1/3
>>703467488
Probably both.
>>703467432
>At least 1 landed heads
>>703467375
>1 girl and 1 trap
>I have 1/3 chances of getting a trap, somehow
>being serious about it
>>703467360
That's cool but were using quarters bub
>>703467588
1/3 of getting 2 traps.
You are a moron. Go suck a dick, faggot troll.
>>703467546
But we know one WILL land heads. It doesn't matter what one it is. I stated the approximate probability of the other landing heads too.
>>703467694
>2 girls
>1 is a trap
>1/3 chances of it being a trap
>2 girls
>1/3
Keep trying.
>>703467443
t. Math degree?
Buddy go back to school seriously
The order doesn't matter since it's not the "first one lands heads" but "at least one lands heads"
Go ask any professor and they'll tell you the same stuff.
>>703467660
Clearly there's a difference in the mass of the nickle/shape. But we cant factor everything into the equation because that's far beyond the scope of this thread. I used the nickle as an example since the research has already been done
>>703462411
Probability that both landed heads: 1/4
Probability that at least one landed heads: 3/4
Probability that both landed heads given at least one landed heads = (1/4)/(3/4) = 1/3
>>703467754
>But we know one WILL land heads.
>one WILL land heads
>WILL
>in the future
No. No coin is guaranteed to land heads.
2 coins WERE flipped, and AT LEAST 1 landed heads. It could be EITHER coin, meaning EITHER coin could be tails, just not both.
There are 3 equally probable outcomes that satisfy the condition in the question:
heads, tails
tails, heads
both heads
Those are the only 3 outcomes containing at least 1 heads.
All 3 are equally likely to occur.
1/3
>>703467870
You're retarded.
I'm not going to prove why
I'm just letting you know
You're retarded.
>>703467950
>Probability that both landed heads: 1/4
>Probability that at least one landed heads: 3/4
>Probability that both landed heads given at least one landed heads = (1/4)/(3/4) = 1/3
Thank you, based Bayes' theorem.
1/3
/thread
>>703462411
If one coin is already given on heads, its 50% for the other coin to be heads
>>703467934
You googled that statistic replace the "nickel" with "quarter"
You can fathom hundreds of factors for how fish swims. But the moment you call the fish a nigger is the moment I stop listening..
>>703467460
>proven wrong
>hurr others are stupid and don't use their brains
You're a fucking idiot. One of them will land on heads. It doesn't matter which one does it. The other can either land on heads or tails.
1/2
>>703467968
>No. No coin is guaranteed to land heads
>>703468085
The question isn't asking for the probability of a single coin being heads, it's asking for the probability that both coins landed heads, in teh event that at least 1 coin landed heads.
(1/4) / (3/4) = 1/3
>>703467974
Ok buddy enjoy working at McDonalds
>>703467968
At least 1 of 2 means that one is guaranteed to land heads. At least means the absolute minimum
>>703468132
You left out the "at least" part, which implies it could be either coin, which means either coin could be tails, which gives 3 equally likely and valid outcomes
heads, tails
tails, heads
heads, heads
1/3
>>703465772
tails heads and heads tails is the same thing, so you leave it out.
hope this is bait son
>>703466676
>Your program flips both coins
You. Fucking. Moron.
Read the code - it only counts the flips that have at least ONE HEAD, which was what the original problem stated. You're attempt at trolling is fail. Good bye.
>>703468230
>At least 1 of 2 means that one is guaranteed to land heads. At least means the absolute minimum
There are 3 equally probable ways to achieve this. Both heads is 1 of those 3 ways
1/3
>>703468168
>The question isn't asking for the probability of a single coin being heads
>You flipped two coins
>One coin landed heads
>>703468259
>tails heads and heads tails is the same thing
Kill yourself.
>>703467968
>oversimplifying this hard
Your point of view is wrong, which makes your math wrong. Don't study science kid, and you'll be alright.
>>703462411
Its 50% if the order or orientation of the coins is irrelevant
Its 33.3% if the coins are for say defined as left and right or Coin1 or Coin2
>>703468110
Sadly we cant factor everything in. Like air pressure, wind, the state of the coin, human error etc. As much as i would love to have the exact answer we cant really have it, since the result is based on changing percentages
>>703468179
Enjoy being retarded
>>703468360
when I'm wrong, i will
>>703466676
>Your program flips both coins.
Yes, because
>2 regular coins were flipped
>>703466676
>if your program possibly generates two tails, you can't use the program by excluding those results.
Why not? Only trials with at least 1 heads are relevant. You HAVE to exclude all tails, tails results.
>>703468417
Do it now.
>>703468513
only when i'm wrong
>>703468384
>Washington University Math Dept. is wrong
Sure thing, kid.
1/3
>>703468408
As I said, enjoy working at mcdonalds
This is not even math, it's basic reading comprehension
Look up "at least one" online and see for yourself if H-T and T-H are not the same entity
But honestly if you're not baiting gg, good luck with math 101
>>703468396
You're literally trying to sound intelligent by having such a "wide" perspective that you sound like nothing but a pretentious faggot. You're not fooling me. You're not fooling them. You're not fooling anyone.
>>703468394
You're a fucking idiot.
There is 1 correct answer and it's 1/3.
>>703468267
>it only counts
There's your fucking problem you idiot. One coin already has a predetermined outcome, it doesn't matter which one. So you only have to flip the other.
1/2
>>703468561
You're wrong now.
>>703468255
>You left out the "at least" part
Which means regardless of which coin, one of them landed heads.
>which implies it could be either coin
Which implies you know one of the outcomes: Heads
>which means either coin could be tails
No, it means either coin could be heads. You don't know the outcome of both, only one.
>which gives 3 equally likely and valid outcomes
No, you know one is supposed to be heads, giving you 3 equally likely outcomes
heads, tails
heads, heads
1/2
>>703468644
so one coin isn't guaranteed to be heads then?
>>703468579
>math is science
>mathematical evidences have anything to do with real world
Sure thing, kid.
>>703468637
>One coin already has a predetermined outcome
No it doesn't. We are told that at least one landed heads after the flip, not before it, you fucking retard.
>>703468331
But regardless one will land heads. We're given that information it's not asking us to find the probability of the left or right coin. The coins are considered a unit not individuals. I feel like you believe that humans lived at the same time as the Dinosaurs
>>703468583
>You're holding shit in your left hand
OR
>You're holding shit in your right hand
So you're telling me as far as you're concerned, both your hands are covered in shit?
>>703468665
Either coin could be tails, just not both, so
>heads, tails
>heads, heads
>tails, heads
1/3
>>703468637
But the fact that it doesn't matter which one matters.
If it mattered which one, you'd be right.
But because it could be either, it's 1/3.
>What's 1/2 * 1/2
>>703468812
1/8
>>703468689
>so one coin isn't guaranteed to be heads then
No specific coin. At least 1 out of 2 landed heads.
3 ways to satisfy that condition.
coin1 heads, coin2 tails
coin1 tails, coin2 heads
both coins heads
1/3
>>703468798
>Either coin could be tails, just not both, so
Either coin could be HEADS, since it's the only outcome you know.
>heads OR tails
>heads OR heads
1/2
>>703468692
You better be trolling.
>>703468783
In math, if the order isn't stated to be important then it doesn't matter
In real life no
Nice example, now get me my fries.
>>703462411
Exactly 50%.
>>703462941
Please baby
>>703468778
>But regardless one will land heads.
>will land
>in teh future
No. 2 coins were flipped and at least 1 landed heads. It wasn't gauranteed to land heads, and we don't know which coin it is.
1/3
>>703468882
If you insist on considering heads-tails and tails-heads the same outcome, then you must at least concede that outcome is more probable than heads-heads.
>>703468877
>No specific coin. At least 1 out of 2 landed heads.
2 coins
1 is heads
How many coins are left?
coin1 heads, coin2 tails
both coins heads
1/2
Has anyone actually been adamant it was one answer then this thread has converted them the other way?
I'm a firm 50/50 believer but I was almost persuaded otherwise. But it's the fact that it DOESN'T MATTER which is head or tails, one is heads so the other is 50/50 heads or tails.
>>703462829
>Assuming l'm binary gendered
Why don't you check your fucking privilege shitlord??
>Either coin could be HEADS
So
Heads, tails
tails, Heads
Heads, Heads
1/3
>>703468877
I know this is bait but I never said I wasn't retarded. Why does which coin having heads matter in any scenario? Why do you give this distinction?
>>703468926
In mathematics they don't assume things.
Sure thing lemme also get you a textbook
>>703469038
>coin1 heads, coin2 tails
>both coins heads
>coin1 tails, coin2 heads
1/3
I'm just going to copy and paste now. You're either retarded or faggot trolls.
>>703468926
>In math if the order isn't stated to be important then it doesn't matter.
OK D00D LMFAO
>>703469072
>so the other is 50/50 heads or tails.
That's not what the question is asking you dumb cunt.
but if you know one of the two coins are going to land on heads and you just just betting on the other one to land on it as well its a 50% chance
i know you guys are thinking about this from a probability standpoint but in real world the h-t t-h is exactly the same
>>703465772
Genius!
HAS ANYONE REALLY BEEN FAR EVEN AS DECIDED TO USE EVEN GO WANT TO DO LOOK MORE LIKE
>>703462411
Actually, if there are 4 options,
HH
HT
TH
TT
We 1- tt, that is
1- (1/4 x 1/4)
15/16 (This is for all possibilities that at least 1 flip is heads.)
Hence, (15/16 x 1/2) is the probability of at least 1 heads, given the second roll is a heads.
>>15/32 is the chances of rolling a heads after at least one was heads beforehand.
>>>Being this retarded?
1/3
"one of them lands heads" =/= "the first one lands heads"
boy or girl paradox read up
>>703469131
"At least one" means that there's no specific order it could be the first coin or the second
"The first one" implies order.
Could you get me a soda too? I have enough textbooks laying around in my desk, thanks.
>>703469210
In the "real world" people can't get away with being this retarded
>>703469104
>Why does which coin having heads matter in any scenario? Why do you give this distinction?
Because there are 3 EQUALLY PROBABLE WAYS to get AT LEAST ONE heads coin for a 2-coin flip.
This isn't hard, guys.
heads, heads
heads, tails
tails, heads
All 3 outcomes are valid and equally likely
1/3
>>703468114
Here is a table explaining it. It is a complicated mathematical proof so I understand if it's hard for /b/ to follow. I have highlighted the relevant row for clarity.
>>703469163
Why don't you take your Ritalin dose, then you can try that again, child.
>>703468980
Are you actually autistic. Go and learn what at least means. Also you're not factoring in the edge of the coin. By your logic it should be:
Heads, Heads
Heads, Tails
Heads, Edge
Edge, Heads
Tails, Heads
1/5
>>703469193
See>>703469342
Honestly I can't believe so many people can't actually read
>>703469037
If you already know one of the outcomes MUST BE heads, it doesn't matter what the outcome on the other coin is.
It's impossible to isolate one specific outcome on a regular coin anyway, so ruling out TT as if it was a valid alternative doesn't even make any sense from the beginning. Trying to argue semantics over something impractical is idiotic.
>>703469372
>that filename
Good job, anon. The retards still won't get it into their thick skulls that there are 2 coins and HT is not the same as TH.
>>703469163
>coin1 heads, coin2 tails
>both coins heads
1/2
You already know one of the coins will be heads.
>>703469505
>thinkin edge probability is relevant.
Kill yourself.
1/3
But it doesn't say LEFT coin or RIGHT coin. It literally isn't in the equation. T/H is the exact fucking same as H/T when the question is worded how it is.
It's 50/50 ffs
so if you gypsie went up to you and said he has a million shekels to give you if both of his coins lands on heads and will void any toss that doesn't have at least one heads you'll be saying to yourself oh man i have a 1 in 3 chance of winning i don't know about this
stop being retarded anons its 1/2
zero because the jews control all the money
>>703469342
You literally just contradicted yourself.
you believe it's 50% and that h-t/t-h is the same thing when you just said
>"At least one means that there's no specific order it could be the first coin or the second"
How much did your mom pay for those hooked on phonics "textbooks"
Yeah sure, would you like the 2-oz, the half-filled 4-oz or the "1/3" filled 6-oz
Don't think too hard man
>>703469616
>coin1 heads, coin2 tails
>both coins heads
>coin1 tails, coin2 heads
1/3
I'm just going to copy and paste now. You're either retarded or faggot troll
>>703469666
You have to be trolling.
Let's say you flip one coin. If it lands tails, the other one definitely is heads. Over. If it lands heads (50%), you have to flip the other in order to find out. The other also has 50% to land heads. 0.5*0,5=0.25
However, if you flip both coins at the same time, and just leave the possibility of tails tails gone, it's 1/3.
The question states that at least one of them lands heads, but does not state which method is used to flip the coins.
Flawed question. Done.
>>703468905
>he thinks math is science
>>703469667
>T/H is the exact fucking same as H/T
lol Kill yourself. You're retarded.
>>703469532
I can't believe you're quoting your own posts nice same fag though
>>703469372
Why are you calculating HT twice if you know H is supposed to always be a result?
Why are you so bad at math?
>>703469357
that probability chart doesn't work when you add variables to the problem. Whether you flip only one coin or flip them both doesn't matter because this is a specific example with altered rules. it doesn't matter which coin is which
>>703465832
Yeah, it's just asking that one landed heads. Not that you already witnessed one is heads with the other yet to be flipped. THAT would be 50%, because you would only be flipping one coin.
>>703469131
Mathematics is based on assumptions.
>>703469676
For all tosses with at least 1 heads, both coins will be heads 1 out of every 3 times.
1/3
Simulation confirms
>>703462411
Did you hear of the sleeping beauty problem?
>>703462411
1/3 seems logical to me.
>>703469696
no significant double but a small victory none the less
>>703469821
by assumptions I hope you mean the fact that 1 is a literal number and not a figurative one we use to make estimations
>>703469870
im not talking about some witchcraft computer, i'm saying if you know one will land on heads regardless of which one, what is the probablility of walking away with the winnings only
>>703469357
>Because there are 3 EQUALLY PROBABLE WAYS to get AT LEAST ONE heads coin for a 2-coin flip.
There are only two probable ways to get two heads if you already have one.
What part of ONE LANDED HEADS you missed?
>>703469790
There are 2 ways to get 1 heads 1 tails outcome
Kill yourself, troll.
1/3
>>703465959
One always does.
It doesn't say the first one.
The question asks A and B given that either A or B is guaranteed.
50% is only the answer if it tells you which one is guaranteed.
>>703469903
>sleeping girl
>problem
i dont see a problem here, i just see free sex
>>703469544
Doesn't matter that it doesn't matter which coin, the fact is that the event of one coin being heads and the other being tails is exactly twice as probable as the event of both coins being heads.
1/3.
>all these underage idiots
It's 1/2. Develop a brain.
>>703470039
One coin landed heads, you don't know the other.
Where are the three outcomes coming from, retard?
1/2
Retards detected.
The answer is 1/3.
Flip 2 coins, 4 equally likely outcomes:
heads, heads
heads, tails
tails, heads
tails, tails
at least reply to this post or your mother will die in her sleep tonight, leaves 3
heads, heads
heads, tails
tails, heads
1/3
>>703470009
> i'm saying if you know one will land on heads regardless of which one
If a fixed coin, answer is 1/2
If regular coins and only counting tosses that contain at least 1 heads, answer is 1/3
>>703469870
Now please do it as described as first method in --> >>703469748
I'd be curious to see what happens :)
>>703470077
One coin landed heads.
You don't know the other one.
1/2
>>703470155
go and flip two coins, and then swap therir places. Fucking magic man fucking magic.
>>703470016
There is one way to get both heads (heads, heads)
There are 2 ways to get 1 heads, 1 tails (heads, tails & tails, heads)
1/3
>>703470155
FUCKKKKK YOOOOOOUUUU!!!!
>>703470131
>HuRR DurR I'm retarded HurR
heads, heads
heads, tails
tails, heads
1/3
>>703470281
There is one way to get both heads (heads, heads)
There is one way to get 1 heads and 1 tails (heads, tails)
1/2
>>703470155
It isn't as simple as that you idiot. You're scientifically wrong. If you use this type of simple math to solve all your problems then you're completely retarded.
There's the 50% faggots
>you're technically only flipping one coin
Then there's the 33% faggots
>\varphi = \frac{1 + \sqrt{5}}{2}
You can tell who went to school amirite
>>703470182
>Let's say you flip one coin. If it lands tails, the other one definitely is heads.
That's not how OP question works. I'm simulating the OP question, not fixing coins like that.
1/3
>>703469704
How did I contradict myself? There's no order so H-T and T-H are the same, but btw this is only because there are two coins.
If it was just one coin then they would be two different entities because a coin can be flipped two times and they do have an order.
Honestly I think I'll take a big mac and a some chicken nuggets, thanks. >>703469782
I was just pointing to the other post
>>703470364
No need to be angry, sonny, it will be over soon.
heads, heads
heads, tails
1/2
>>703470415
There is one way to get both heads (heads, heads)
There are 2 ways to get 1 heads, 1 tails (heads, tails & tails, heads)
1/3
>>703470470
heads, heads
heads, tails
tails, heads
1/3
>>703470213
one coin landed heads
it could be either coin
but once that one coin has landed heads, there's only one coin left to flip
the difference is in the transition from a question of one of two coins being heads to a question of only one coin being heads
1/3
>>703470520
There is one way to get both heads (heads, heads)
There is one way to get 1 heads and 1 tails (heads, tails)
1/2
>>703470491
heads, heads
heads, tails
tails, heads
1/3
>no one here smart enough there's another 360 ways for the coin to land
(360+2)x(360+2) = 131044 options
Answer = 1/3
Flip 2 coins. 4 equally probable outcomes
HH
HT
TH
TT
At least one landed heads, so TT is eliminated from the probability space, leaving three:
HH
HT
TH
HH is 1 of those 3.
1/3
Mathematically, we solve using Bayes' theorem:
Let A = "both coins are heads"
Let B = "at least one coin is heads"
Probability of A = P(A) = 1/4
Probability of B = P(B) = 3/4
Probability of A GIVEN B =
P(A|B) = P(A∩B)/(P(B)) = (1/4)/(3/4) = 1/3
>>703462411
So the question is more like
Ok i flipped a coin it turned out to be heads
Lets flip another one, what the chances of it being heads again
Uhhhhhhh 1 in 3 brooooooooo
>>703470470
Like I said
>>703468783
This is your logic.
Would you like the combo meals?
You only specified one set of fries and one drink. But you're ordering 2 meals?
Guess your math applies to real life situations.
I'm sorry you ever had the privilege to draw oxygen from this earth.
>>703470466
Well, OP didn't clearly specify how OP's question works either. He just states that two coins "were flipped"
>>703470749
No. You're retarded.
>>703470654
>360
>only counting 2 dimensions
>incorrect math
>>703470654
they're not all equally likely though so you can't do it that way
it presents the same problem as trying to say the answer is 1/2 because it's only a question of heads for one or heads for both
the problem is those two outcomes are not equally likely
>>703470799
>2 REGULAR coins
ie not "fixed"
1/3
>>703470549
No! That's the logic used for one coin!
>inb4 get out ching chong nip pong
It's an example that shows that that is the result for flipping one single coin
>>703470777
says someone else's logic is bad, presets fallacy
>>703470584
>the difference is in the transition from a question of one of two coins being heads to a question of only one coin being heads
It's not about only one coin being heads, it could be either one, all you know is that one of them is heads, regardless.
1/2
EVERYONE WERE FLIPPING 2 COINS AT THE SAME TIME AND ONE WILL ALWAYS COME OUT HEADS WERE NOT PLACING A COIN ON THE TABLE AS HEADS AND FLIPPING JUST 1 COIN WERE FLIPPING 2 WITH A GUARANTEED HEADS FROM ONE OF THEM.
>>703470633
>heads, heads
>heads, tails
1/2
>>703470839
>pleb cant see 4th dimensions
>>703462796
You're fucking retarded. Save yourself a trip to the family psychiatrist because I'll diagnose you here, you have severe crippling autism with no chance for a normal life.
>>703470864
Saying that both of them were left to chance ("flipped") and stating one of them has to land heads contradicts. These coins are not regular.
>>703470924
There is a difference between setting myself up for logical fallacies, and you actually being retarded.
>>703470811
No you are a retarded read the question dipshit
>given that atleat one of them landed on heads
>landed on heads
>landed
>already happened
Stop drinking fluoride dipshit
>>703470937
yes, and if we knew which, then the probability of the other one coming up heads would be 1/2, so the answer would be 1/2
but since we don't know which, the meaning of "other one" is poorly defined, in such a way that the probability of it coming up heads is actually 1/3
>>703462411
>Flips two coins
>One landed heads
>What are the odds of the other one also being heads
1/3 HUURRRR HUUUUURRRR
>>703471162
Hahahaha dumb fucks
>>703471094
It wasn't even me kek
Hey where are my fries :^)?
>>703470969
No, you flip 2 coins. Either could land tails and we only count teh flips which contain at least 1 heads.
So flip 2 coins 1000 times. You'll get something like
HH ~ 250 times
HT ~ 250 times
TH ~250 times
TT ~ 250 times
We only count flips containing at least 1 heads, so TT is out.
So there are ~750 flips containing AT LEAsT ONE heads.
HH is ~ 250 out of those ~750
250 out of 750
250/750 = 1/3
1/3
>>703471142
>if we knew which
It doesn't matter, you already know one of them landed/will land/is landing heads, all you have to do is to calculate the odds of the other one being heads as well.
For people saying 1/2, are you discluding the TH or HT result, because if at least one result is heads they are both valid results.
>How smart is /b/?
we're fucked.
>>703471052
>WaAaaah WAAAhAA ur an autist for understanding conditional probability WaaaAAAH
Cry moar, faggot.
1/3
>>703470749
No. Another valid possibility is that you could flip one coin and get tails, then flip the second coin and get heads.
>>703471272
it does matter, because since "other one" is poorly defined, the odds of it being heads aren't necessarily 1/2
>>703470969
Hahahahaha no u are wrong
>>703471162
>>What are the odds of the other one also being heads
That's not the question , retard.
>>703471288
Hahahaha
>>703471218
Well as much as I would love to talk I have Uni in about 15 minutes and it's a 10 minute drive
Make sure that you're up to take out my trash in an hour dude
>>703471288
Well, posting a mathematical question that is free for interpretation and demanding one answer isn't less retarded from OP, but it's very smart trolling. I applaud!
>>703471334
Yes but the question says you already landed one of the coins so its a question of what the other coin lands onLYYYYYYYY DIKHED
>>703465625
not using vi.
>>703471609
"other coin" is not well defined and due to its poor definition the odds of it landing heads are actually 1/3
>>703462411
flipping two coins
P(A): both lands heads = 1/4
P(B): at least one of them lands heads = 1 - (1/2)*(1/2) = 3/4
P(A|B) = 1/3
https://en.wikipedia.org/wiki/Conditional_probability
>>703471443
Ask your professor while you're at it, see for yourself.
>>703471339
>because since "other one" is poorly defined
The other one could be the first or the second, it DOES NOT matter.
You already know one of them is bound to always be heads, and that's it. You don't know anything else about this problem.
>>703471676
Its not written poorly
Little bitch
>>703471725
Yes, and because it could be the first or second, it's poorly defined.
Because it's poorly defined, the odds of it landing heads are 1/3.
>>703471706
You can't simply remove one of the outcomes from an equation and use it to explain another question that completely rules out one of the possible outcomes you included in your calculations earlier.
Is this how you think science works? WTF?
>>703471767
I didn't say it was written poorly, I said it was poorly defined.
>>703471767
Follow up, im not judging u little bitch don't get cut, its all just simple question where u don't understand
The cure for a little bitch is patience
Little bitch