0.5

Nine.

>>677987610
279,000 to 1

>>677987610


This bitch is streaming TROMA FLIX!!!!!!!!!!!!!!!!!!!!!!!-!!!!!!

Get in HERE NIGGERS NOW!!!!!!!!-----!!!!!!!!!!!!!!!!!!!!!!!!-!

instasync.com/r/1legged_lovely

if each coin is 50% and atleast one of them lands on heads; I'd say 25% chance they both land on heads

>>677987610
The probability is that the other one could be or could not u uneducated faggot

1/3 == 0.33

there are 4 outcomes

2 heads
1 head 1 tail
1 tail 1 head
2 tail

if at least one landed head, there are 3 possibilities left, one of which is two heads

so it's 1/3

>>677987610
What's the probability you're not a cunt?

1 in 2 chance of heads versus tails and another coin with a 1 in 1 chance of landing on heads means that there is still a 1 in 2 chance of both landing on heads

>>677988024
You can't account for head and tails outcome twice

>>677987963
>>677988024
correcto

You're just flipping 1 coin because the outcome of 1 is already determined.
50%

P(A intersect B | A union B) = P (A intersect B) / P(A union B) = 0.25 / 0.75 = 1/3.

>>677987610
5/7

>>677987610
most of /b/ is pretty stupid.

>>677988209
But you can account for order it landed.

75%

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>>677987684
>>677987816
>>677988094
>>677988327


All of you are wrong.

The correct answer is 1/3.

Pic Related

>>677987684
>>677987701
>>677987712
>>677987816
>>677988094
>>677988327
>>677988370
>>677988777
how do you get these stupid answers?

>>677988962
stupid

>>677989428
Mad

>>677989078
How do you bite such simple bait?

Given that one if them is DEFINITELY going to land on heads, you only have to pay attention to the second coin. In a perfect situation, the coin has a 51% chance to land on the side facing up when the coin is flipped. Therefore, neglecting any outside influences, there is a 51% chance that both coins land on heads. End of discussion, fags.

>>677988962
you think they can understand your code?

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>>677989078

I'd imagine it's because many of them actually ARE stupid.

For anyone who cares, the answer is 1/3 and here is why:

For a regular 2 coin flip, there are 4 possible outcomes:

HH
HT
TH
TT

But we know that AT LEAST 1 coin landed heads, so that eliminates the TT possibility, leaving these 3:

HH
HT
TH

HH is 1 of those 3 equally probable outcomes.

1/3.

See this anon for Bayes' Theorem proof >>677988331

Pic Related: 1/3

>>677988024
fucking retard

>>677987610
coins are a perfect 50/50 chance
its more like
49/51 in favor to the side that was facing up during casting

>>677988962
wtf coding is unnecessary here jesus. When flipping 2 coins, you literally have 4 outcomes. landing double tails is irrelevant here so its fucking obvious that 1 in 3 lands double heads, why the fuck would you need to code for that.

4 options - head head
head tail
tail head
tail tail.
GIVEN at least one landed on head, so tail tail is removed. So 1 in 3 of the remaining options have head head.

>>677988024
>>677988962
>>677989078
You guys are wrong. If it's given that one coin is automatically heads, that means there are only two outcomes from there.
Either
Heads + Heads
Or
Heads + Tails
That means it's a 50% chance that both coins land on heads IF the first one already landed on heads

>>677989522
k

>>677989541

No. They can't even answer a simple conditional probability question correctly.

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probability 1:heads-heads at least one is heads
probability 2:heads-tails at least one is heads
probability 3:tails-head at least one is heads
probability 4:tails tails
75%

>>677989673
>Either
>Heads + Heads
>Or
>Heads + Tails

Or

Tails + Heads

3 outcomes still possible.

1/3

>>677989593
but when it is GIVEN that one of them lands Head, why would it matter which one lands heads?
Aren't we just flipping one coin actually here?

>>677989667
>why the fuck would you need to code for that.

Why not run a simulation?

It literally takes less than 5 minutes.

>>677989673
any of the two coins can get heads and both are counted as different.

>>677989593
But you would also have to cross out the fourth outcome in your pic because if you didn't you'd be counting the second outcome twice because it's the same fucking thing

>>677989593
Youre wrong and here's why:

Let's label the coins 1 and 2. Here are the possible outcomes.

Outcome 1: 1H 2H
Outcome 2: 1H 2T
Outcome 3: 1T 2H
Outcome 4: 1T 2T

Let's say coin 1 lands on heads. That eliminates outcomes 3 and 4, leaving outcomes 1 and 2 left.

>>677988617
>>677988024
>>677988962
motherfuckers don't realise that 50% is the correct answer, noone asked which one would land heads first, if it was so, then it would've been 1/3, but since noone cares about that, it's 50%
Please acquire some brains before posting random shit

>>677988962
looking at the responses here, i think you did us all a favor by posting this simulation.

>>677989593
if thats your explanation you worded the original post question wrongly. from your OP, the answer is 1/2, or 50/50

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>>677989940
>but when it is GIVEN that one of them lands Head, why would it matter which one lands heads?

It matters because there are 3 equally probable outcomes that all contain at least 1 heads coin.

>Aren't we just flipping one coin actually here?

No. We are flipping 2 coins, and at least 1 of them landed heads. You don't know which.

It's the same as me asking you this question in pic related.

The answer is also 1/3

>>677987610
/b/ is retarded.

>>677987610
with global warming, it is just impossible to come up with an accurate equation ... thanks Al Gore

>>677990376
there are 4 equally probable outcomes, as another anon already showed you, idiot

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>>677987610
One can't know for certain that one will "fer shure" be heads or vice versa. In the real world this question is stupid and whoever took the time to come up with an answer, congrats, you've wasted your time.

>>677987610
the answer is 1/3 just run the damn simulation posted above.

>>677987610
Threads like this are when the wrong voice their ignorance the loudest.

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>>677990189

Bayes' theorem math, computer simulation, probability trees and charts says you're wrong.

The correct answer is 1/3.

You could have :

HH or HT or TH

1/3

Pic Rleated

possibilities are
H H
H T
T H
T T (impossible because at least one landed heads)
so 1/3

>>677990376
thanks for the explanation. Seems to make sense, will have to think about it for a while probably.

>>677990376
I thought all you 1/3 faggots were retarded until this guy explained it in a not retarded way.

You don't know which coin lands on heads, but one of them has to

>>677990028
>But you would also have to cross out the fourth outcome in your pic

No. it's a possible outcome. Only TT is not possible.

>you'd be counting the second outcome twice because it's the same fucking thing

No. Those are 2 separate and distinct outcomes.

HT is NOT the same as TH

Imagine you used a penny and a quarter for the flip.

Now can you see how those are 2 different outcomes?

Answer = 1/3.

>>677990656
explain bayes theorem to me pls or bayesian stuff as im into chemometrics n stuff but pretty weak in maths tbh

WTF are you guys gonna do in a job interview if you cant solve such a stupid problem

1/2
Probability of both landing heads is 1/4
But it said given that one is already certain to land on heads. So its 1/2.

>>677991088
easy one, swallow.

>>677987610
50%
i know this is frawned upon but this is so stupid so /thread

>>677991144
fuck yourself.

>>677987610
Salty milk?

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>>677990179
>Let's say coin 1 lands on heads. That eliminates outcomes 3 and 4, leaving outcomes 1 and 2 left.

But it's perfectly possible that coin 2 is the heads coin, meaning there are 3 equally probable possibilities:

Outcome 1: 1H 2H
Outcome 2: 1H 2T
Outcome 3: 1T 2H

1/3

Pic Related

>>677988024
There are only two outcomes because the first already being heads is fixed as per the question. The only remaining part is the probability of heads in the second coin, so 50%

>>677989862
that would mean that the 'order' is relevant... which it isn'!
heads/tail is the same as tail/heads

so stochastically it still must be just 50%... right?

>>677991227
you can not tell quad dubs to fuck themselves
>>677991144

>>677991287
the problem only says, atleast one of them landed as head, so you dont know if it's the first coin or the second.

>>677991144
retard alert

the probability is 1/3
You get this by dividing the probabilty of having 2 heads which is 0.5*0.5= 0.25 by the probabilty of having at least one head which the 0.75 (probability of having 2 heads which is 0.25 + probability of having 1 head and 1 tail which is 0.5)
Computer scientist here

>>677991381
Idk if it's right, but it makes more sense to me to think of it as it being twice as likely to get tail/head, because there are two ways that outcome could arise

>>677991381
>stochastically
FTFY

>>677990487

There are 3 equally probable outcomes given at least 1 coin landed heads.

1 coin being heads eliminates the TT outcome.

try to pay attention.

Answer = 1/3.

>>677991259
to be shure that at least on of them lands on head you have to know the outcome of one of the flips before both are landed therefore you know that one already landed on head

>>677987610
Well the chance of 2 heads is 1/4 but it's asked what is the chance of the second coin individually which implies 1/2. Right?

>>677991533
looks like you are an unemployed computer scientist.

hence proved, /b/ is fucking stupid.

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>>677990794

you're welcome, anon.

After you wrap your head around the OP question, try this one.

Most people get this one wrong too lol

>>677991733
It is 1/3 dude

>>677989593
>Bayes' Theorem

Thank god someone else on /b/ knows this.

>>677991144

Those dubs were wasted on you, anon.

Read the thread.

Answer is 1/3

>>677991993
is it 50%?

>>677991993
the answer is 1/2

>>677992206
no.

>>677991549
thank you. Of course, now the 33.33% makes even more sense!

>>677991569
wat.jpg

>>677992005
yes it is.

>>677991287

First coin could be tails and second heads

1/3

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So basically people are discussing if heads-tails is the same as tails-heads?
It's. The. Fucking. Same.
1 coin always lands heads. Meaning the only outcome to consider is the 2nd coin - 50%.

>>677992331
Fuck its 1/3 isn't it?

>>677992165
Pretty certain that he's wrong considering the first coin has already been thrown and landed on heads which eliminates any outcome with a tails at the front leaving only h+h or h+t so it's 1/2

>>677991993
http://www.datagenetics.com/blog/june72013/index.html Bertrand's Box Paradox

I flip 2 coins.
1 coin has heads on both sides.
1 coin has heads and tails.
What are the odds of both landing heads up?

50/50 dumb ass niggah

>>677991993
2/3, I think?

There's 2/3 gold balls' worth of chance that you picked one from the double gold ball box.

If that makes sense. It's probably not at all how you calculate this shit but it's what it feels like.

>>677987610
Sigh...
One of these coins already landed heads, there's only 1 coin to flip.
50% chance

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>>677991381
>heads/tail is the same as tail/heads

Oh no. You have made a very terrible mistake, anon.

heads/tail is NOT the same as tail/heads

They are 2 separate, distinct and EQUALLY probable possibilities.

Imagine using a quarter and a penny for the flip. You could get:

penny = heads, quarter = heads
penny = tails, quarter = heads
penny = heads, quarter = tails
penny = tails, quarter = tails

Can you see how those outcomes are all different?

The only 1 not possible in the OP question is tails/tails.

There are still 3 equally probable possibilities:
penny = heads, quarter = heads
penny = tails, quarter = heads
penny = heads, quarter = tails

1/3

Hope that helps you understand.

Pic Rleated: Bayes' Theorem

1/3

>>677991259
wrong
well, right but you missed an outcome
the coin can land on its side therefor standing vertically (rotation doesn't matter)

>>677989756
But tails-tails is nullified because it guarantees at least 1 must be heads. Thus there are only 3 remaining possible outcomes

>>677992827
correct

>>677991549

That is correct, anon.

>>677987610
1/3

>>677992464
while it is the fucking same, mate, that would also mean that it is twice as likely to be heads/tails or vice verse... but you want it to be heads/heads

so you have only 1/3 the propability to be heads/heads,

got it?

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i still think Al Gore is to blame

(pic not in any way related)

>>677992627
H1 H (double heads)
H1 T
H2 H (double heads)
H2 T

1/2?

>>677991993
2/3.
Its impossible for it to be the far right box, because it had a gold coin in it.
So you either picked Gold 1, Gold 2, or Gold 3.
Gold 1 and Gold 2 have a Gold adjacent to them, while Gold 3 doesn't.
So, 2/3 chance.

itt: people can't even understand the question and are trying to answer it

>>677987610

https://en.wikipedia.org/wiki/Boy_or_Girl_paradox
Goddamit /b/

>>677991653
>Well the chance of 2 heads is 1/4
Yes, without the condition.

>but it's asked what is the chance of the second coin individually which implies 1/2. Right?

No. That is not what is asked. You are asked for the probability that both coins landed heads given the condition that at least 1 coin landed heads.

There are 3 equally probable possibilities which have at least 1 heads coin:

HH
HT
TH

HH is 1 of those 3.

1/3

can someone explain to me why people write
H H
T H
H T
instead of
H H
H H
T H
H T?
just because 1 coin lands heads doesn't mean we know which coin landed heads, so why is no one accounting for the fact that you can have two different H H possibilities?

>>677987610

50/50

>>677993327
>2 different H H possibilties
U wot m8? How do the two possibilities differ?

>>677993327
the distinction between ht and th matters because there's a 50% chance that you get (th or ht), and only 25% of tt or hh

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>>677992206
>>677992320
>>677992827
>>677993133

The correct answer to that problem is 2/3

Pic Related: Solution.

Also Google Bertrand's Box Paradox.

>>677992464
Genius, anyone who says otherwise is an "I'm a mathfag" retard

>>677992577
>Pretty certain that he's wrong considering the first coin has already been thrown and landed on heads

I think your problem here isn't the math, but your reading comprehension.

The question does NOT state that the FIRST coin landed heads.

It simple tells you that AT LEAST 1 coin landed heads.

It could be either coin, meaning the possible outcomes are:

HH
HT
TH

1/3

I hope that clears it up for you.

>>677991993
66.6666%
The same computer scientist

>>677987610
Let us do this, kids! Two coins were flipped. One landed heads. What is the chance the second one landed heads? 50 percent! One coin flipped is the only thing we are doing! We aren't calculating both!

>>677993616
>>>677991993
>http://www.datagenetics.com/blog/june72013/index.html Bertrand's Box Paradox

>>677993321
this question is all down to interpretation of when the heads was tossed if it's tossed first it's 1/2 if it's tossed second it's 1/3

>>677992464
But what if the first coin landed tails and the second landed heads you retard.

You're not taking the permutations into account, which is why you're wrong.

>>677992464
>>677993665

they're not actually the same.

Think of it like this. There is only 1 way to get heads/heads but there are 2 ways to get heads/tails.

Imagine using a quarter and a penny for the flip. You could get:

penny = heads, quarter = heads
penny = tails, quarter = heads
penny = heads, quarter = tails
penny = tails, quarter = tails

Can you see how those outcomes are all different?

The only 1 not possible in the OP question is tails/tails.

There are still 3 equally probable possibilities:
penny = heads, quarter = heads
penny = tails, quarter = heads
penny = heads, quarter = tails

1/3

Here is another fun way to get the answer!
12 (represents order. order doesn't really matter, but might help some anons understand)
HH
HT
TH
TT <-- impossible according to conditions of problem

How do find the probability of double heads normally?

Probability of first coin is heads x probability of second coin is heads.
12
HH 1 is heads
TH 1 not heads
HT 1 is heads

So 2/3 chance for one of the two coins to be heads (which coin we check first doesn't matter, they will both give us 2/3 to start with)

Now we check the probability of the remaining coin within the possibilities of the first coin.

HH Coin 2 is heads
HT Coin 2 is tails

So 1/2 for coin 2.

Now we multiply our two probabilities to get the probability of both being heads.

(2/3)*(1/2)=1/3

QED

>>677993896
wow genius. how can i contact you for an interview?

if the FIRST coin was heads it would be 50% because the 2 possibilities are HT and HH
but it just states that ANY ONE of the two is heads so the possible outcomes are HH, HT and TH, so the probability for HH ist 1/3

>>677993992
Idk what he is talking about. TT TH HH. TT is eliminated there is a half chance.

>>677992932
thanks anon, u da real mvp in this cancer thread

>>677992621

Good man.

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>>677994212

>>677993889

but you just said "It could be either coin" so then surely the possibilities are:

H H (first coin is the guaranteed heads coin)
H H (second coin is the guaranteed heads coin)
T H
H T

For everyone who doesn't understand its 1 in 3:

Grab a friend and two coins of the same size/denomination

Flip the coins
Every time it's TT, flip again
Every time it's HH, your friend pays you a dollar
Every time it's TH/HT, you pay your friend a dollar

Watch how quickly your friend takes all your money

>>677992627

1/2, but that's not the same as OP's question.

In OP's question, either coin could be tails, just not both.

Answer to OP question is 1/3

>>677994406
There are no guaranteed tosses. You're to take all possibilities and exclude the ones that don't match the question.

>>677987610
>given that at least one of them landed heads
If that's the case, then it's 50% chance that both landed heads.

One is already confirmed heads, so it must be one or the other for the last coin.

Everyone that says otherwise is a fucking moron.

>>677993124
>H1 H (double heads)
>H1 T
>H2 H (double heads)
>H2 T

Your double heads outcomes are the same, and should only be listed once.

So you should have:
>H1 H (double heads)
>H1 T
>H2 T

1/3

>>677994307
If you get tails first then it's t+h h+h h+t
But if you get a heads first it's h+t h+h because there's no possibility of tossing a t+h so it's both because the question doesn't specify the order of which the coins landed so it's both 1/3 and 1/2 because both are equally possible

>>677994439
How are people this retarded? You flip both one is heads. What is the probability the other is heads? HALF

>>677994863
but that's not what the fucking question says you retard, of course if you did that it would be 1/3, but that's not what the question states. It states that one of them lands heads, it doesn't say disregard all tosses that do not include at least one head.

>>677994883
They aren't.
H1!=H2
They're separate sides of the coin with their own 50% chance of landing.

>>677995053
One of them LANDED
Not will land
LANDED

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>>677993992
>this question is all down to interpretation

No. There is solid math that solves it.

>if it's tossed first it's 1/2 if it's tossed second it's 1/3

It does not matter which coin is heads. All that matters is that at least 1 coin landed heads. there are 3 equally probable ways to get at least 1 heads from a 2 coin flip.

HH is 1 of those 3.

1/3

>>677994905

What you're doing is using the logical fallacy (the Latin name of which I cannot recall) of applying statically probabilities to OUTCOMES...you have to do all the math BEFORE you flip the coins

>>677987610
Wherever it lands, you're gonna be a europoor faggot.

50% since one is already given, so it's simply a single coin flip of heads or tails.

Not including the very very improbable chance of the coin landing and resting on its edge.

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isn't it that?

>>677995222
It doesnt work this way trips. One LANDED as a head, what is the chance the other LANDED as a head? 1/2

>>677995143

and? it doesn't say that someone actually tossed the coins and waited until one landed heads.

>>677994406
>but you just said "It could be either coin"
Correct.

>so then surely the possibilities are:
>H H (first coin is the guaranteed heads coin)
>H H (second coin is the guaranteed heads coin)
>T H
>H T

Yes, you're almost correct. Your mistake is that you listed HH twice, when it is in fact just 1 possibility.

So you should have:
>HH
>HT
>TH

1/3

Hope that helps.

>>677987610
Testpool is following:
heads heads
tails tails
heads tails
tails heads,

out of these only tails tails is excluded, as it isnt specified which landed head;
therefore the chance that both landed heads is 1 out of 3. Also am feminist, like my boobs that i "forgot" to post

>>677994905
BUT YOU ARENT FLIPPING ONE OF THE COINS THAT ONE IS HEADS WHAT IS THE CHANCE THE OTHER ONE FLIPS AS A HEADS HALF OF COURSE

>>677995222
You can not flip the first coin and land on heads and get t+h and h+t

>>677995777
TRIPS OF TRUTH

>>677994439

This is actually correct.

Your friend will win twice as many times, because you will get a heads/heads result 1 out of every 4 flips and you will get a heads/tails result in 2 out of every 4 flips.

Nice little experiment, anon.

I recommend it to anyone who thinks the answer is 50%.

The actual answer is 1/3

>>677995418
The question doesn't involve magically influencing probability. It's asking how large the subset of a subset is.

>>677995416

Except if the outcome is already known, just look at the coins: if both are heads the odds are 100%- if both aren't heads the odds are 0%

Discussing probabilities after outcomes is an incorrect application of math- if you want to know what the odds WERE then you have to go back to before either coin was flipped and do the math

▶
Your answers make me want to cry. Stop using fucking coin simulators. You can't account for fucking T and H twice fucking faggots. If one coin landed on heads and the other one has two fucking sides then there's a 50% chance you'll get TH and 50% chance you'll get HH. Fucking faggots you're counting 3 sides to one fucking coin you niggers. Go do your fucking homework and get off the fucking internet forever.

>>677995053

Anon. think about it like this:

When you flip 2 regular coins, how many possible outcomes are there?

Now how many of those possible outcomes contain AT LEAST 1 heads?

Now how many of those contains 2 heads?

Do you get it now?

1/3

>>677995853
You arent flipping coins in this problem though. One has flipped as H so that is a guaranteed H.
So the only things that can happen is H and H or H and T its half

>>677995948
Let's say both one was tossed after the other bitch. Its obvious one landed and the other one didn't!

>>677995640

but why are you saying it is one possibility? out of the 2 coins flipped, we are unsure which coin is the guaranteed heads coin, it can either be the first or the second coin.

so if the first coins was heads, there is a 50/50 chance for the second coin to be heads or tails, if the second coin was heads there is a 50/50 chance for the first coin to be heads or tails, what am I missing here?

>>677995853

Thanks, b/ro

I'm a gambler- I see the glaring hole in this game

You have a 50% chance to pick one of the given gold ones, so if you pick a gold one it's either given and the other is silver, given and the other is gold, or not given and the other is the given gold. Therefore there are only three scenarios. If you get a given one, your chance is 50:50, and if you get a non-given gold your chance is 100%. Non-given golds happen when both are gold, to a 50% chance. The chance that they are is 2/3. So 1/3 plus (2/3)/2 = 2/3.

>>677996079
One coin is already CONFIRMED heads, you stupid fuck.

What the fuck is left? THE OTHER fucking coin.

How many sides does a coin have? FUCKING 2.

1/2

>>677995090

Anon, you are making a very silly mistake.

Again, imagine using a penny and a quarter for the flip.

This result:
penny = tails, quarter = heads
is different from this result:
penny = heads, quarter = tails


However
This result:
penny = heads, quarter = heads
is the same as this result:
quarter = heads, penny = heads

Do you understand now how listing HH twice was a mistake?

There are only 3 equally probable outcomes that have at least 1 heads coin:

HH
HT
TH

HH is 1 of the 3.

1/3

>>677996177

But while we're being little whiners about wording- "two regular coins were flipped"
There's nothing about one after the other in there, so they were flipped at the same time

>>677989667
head tail
tail head

Oh my. HOW ARE THESE TWO DIFFERENT OUTCOMES??

think. the head coin is still the same coin in both, since the question states it is "already landed".

there are only two possible outcomes, the probability is 50%,

and /thread

>>677995948
But that isnt the question is it. One flipped as a head, what is the chance the other flipped as a head too? Fine the question is incorrect, lets flip the one that didnt flip as a guaranteed head. There is a half chance it is a head, so a half chance it is double heads.

>>677995010
>You flip both one is heads. What is the probability the other is heads? HALF

That's not the question being asked.

>>677996526
H is already there, as stated in OP.

How can you have TH?

Use some sense ffs

>>677996726
It doesn't say h was first though just that 1 is a h

>>677996437

Why is it that the stupid people are always the loudest and most insulting?

Look, anon. Maybe you're not actually dumb. Maybe you're just young.

Answer all of these questions:

When you flip 2 regular coins, how many possible outcomes are there?

Now how many of those possible outcomes contain AT LEAST 1 heads?

Now how many of those contains 2 heads?

Do you get it now?

1/3

>>677996826
what part of "has already landed" you don't get??

>>677996554
what are you quoting
the question doesn't state that

>>677996664
Yes the question said both were flipped. One is heads. What chance is there that the other was heads?

>>677996654

There's nothing wrong with the question, the mistake is your interpretation-

We don't KNOW the outcome is 'at least one head'
We force it with a condition on outcomes: 'if both tails, flip again'

>>677995308
Answer this please

>>677995416
>One LANDED as a head, what is the chance the other LANDED as a head?

That is not the question being asked.

The question is:
What is the probability that BOTH coins landed heads GIVEN that at least 1 of the coins landed heads?

The answer to that question is 1/3.

>>677987610
very how a smart

>>677996880
They already flipped you dont flip them.

>>677996880
READ OP then come back here.

"One of them landed head"

=> H is on the table. It's already there.

Now you flip the other coin.

It is either T, and you have HT

or it is H, and you have HH.

=> 50%.

>>677995281
>50% since one is already given, so it's simply a single coin flip of heads or tails.

Incorrect, as either coin could be tails, just not both.

there are 3 possibilities that satisfy the condition.

All 3 are equally probable.

HH is 1 of those 3.

1/3

>>677997009
No, the question didnt ask that.

Theres 2 coins, voth are flipped, one hand flipped the coin, the coins both spun 147371881times in the air at the EXACT same time, my dog licked my asshole, one coin landed one heads. The answer is 2/3 ( 33.3%)

>>677996880
>When you flip 2 regular coins, how many possible outcomes are there?
That is irrelevant because the image states that the flips already happened and one of them was heads

Disregard the possible outcomes.

>>677996880
But if you land a heads first (h+t) knowing it's impossible to land a (t+t) then your only possibilities are (h+h or t+h) 1/2 therefore it's both 1/3 or 1/2 depending on the first toss

one coin has the face of Trump on it.

WHAT DO YOU SAY TO THAT NOW?

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>>677995858
>It's asking how large the subset of a subset is.

Pic Related: Answer is 1/3

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>>677987701

>>677987610
0.25 because that's the probability that both coins will land as heads.

The question is loaded and OP is a faggot.

>>677997257

>didn't ask

It's not a question, it's a statement, son- and it's the only way to create those conditions without already knowing the outcome

>>677997256
No we arent doing that. They flipped. One was heads. We know this. What is the chance the other flipped heads?

>>677997256
You're the same stupid motherfucker that keeps ending his posts with:
>1/3
aren't you?

Stop posting already, you little faggot.
You've been proven wrong by multiple people already.

>>677996880
OP is a dick who formulated the answer ambiguously. But I do get it now. I see the fucking light and everything.

>>677989667
You are the one who's wrong. You're treating these as two individual events when they're actually two linked events due to the condition on first event.

>>677997653

The chance is either 0% or 100% because the outcome has already been determined

>>677997603
We know the outcome of one, though. We take that out of this. The other is all we care about.

>>677987610
100%: both coins are currently in the picture and both tails, however since the problem specifically states that at least one must be heads, we can infer that the image clearly corresponding to the problem shows the coins from the bottom perspective, and therefore, since both are facing the same way, both are heads.

>>677997951

See

>>677997895

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>>677995981
>Your answers make me want to cry.

It's not our fault you can't understand the solution to a basic conditional probability question.

>You can't account for fucking T and H twice fucking faggots.

What are you talking about?

>If one coin landed on heads and the other one has two fucking sides then there's a 50% chance you'll get TH and 50% chance you'll get HH.

No. Either coin could be tails, just not both. This gives us 3 equally probable possibilities out of the original 4. These 3 are:

heads/heads
heads/tails
tails/heads

heads/heads is 1 of those 3 equally probable possibilities.


>you're counting 3 sides to one fucking coin you niggers

No, we're not. You just seem to be incapable of understanding how you are wrong and what the correct solution is. Maybe you're autistic or something.

Answer = 1/3

Pic Related: Bonus Venn Diagram

>>677988962
>trusting plain C RNG

>>677996142
>You arent flipping coins in this problem though.

Question says
>Two regular coins were flipped

>>677997895
Its not determined for the one that didnt roll heads though. The other coin was flipped and there is a 50 percent chance we get heads or tails.

>>677998167
>we're
It seems you're the only faggot arguing for this "1/3" bullshit, dumbass.

>>677998293
Exactly. No flipping. Were flipped.

>>677987610
>Two regular coins were flipped
Cool, both coins are flipped, and both are considered to be independent events. We know what the possible outcomes are:
>Coin A
>H or T
>Coin B
>H or T
Which gives us four possible outcomes for both flips:
>HH
>HT
>TH
>TT

>...at least one of them landed heads
Also good. We then know that TT is not an option, because OP says he knows one of the coins is heads for sure, just not which of the two coins is heads. So that leaves us with three possibilities, each with equal odds:
>HH
>HT
>TH

>What is the probability that both landed heads
That'd be 1/3, given the information provided. The odds might be different if we knew WHICH of the coins landed heads, but apparently OP wasn't paying enough attention to the flips.

>>677998296

>two regular coins are flipped
>both LANDED

Outcomes have been determined; math is irrelevant

>>677987712
Never tell me the odds.

>>677996208
>but why are you saying it is one possibility?

For this reason here >>677996526

>out of the 2 coins flipped, we are unsure which coin is the guaranteed heads coin, it can either be the first or the second coin.

Correct.

>so if the first coins was heads, there is a 50/50 chance for the second coin to be heads or tails, if the second coin was heads there is a 50/50 chance for the first coin to be heads or tails, what am I missing here?

You're not really missing anything, other than the fact that you think HH should be counted twice when it is in fact a single result.

Ask yourself the following questions:

When you flip 2 regular coins, how many possible outcomes are there?

Now how many of those possible outcomes contain AT LEAST 1 heads?

Now how many of those contains 2 heads?

>>677998602
Fine whatever. If the outcomes are determined you are right and math doesnt matter. At least that proves the 1/3 wrong.

>>677998620
But isn't it both 1/3 and 1/2 depending on the result of the first toss

>>677996726
>How can you have TH?

Because it contains at least 1 heads coin, which satisfies the condition in the OP question.

There are 3 equally probable possibilities which satisfy the condition:

HH
HT
TH

Only TT is ruled out because (guess what) it does not contain at least 1 heads.

Answer = 1/3

>>677998590
You dont understand its time to end this. TH HH and TT. THERE IS NO TH AND HT. THERE ARE TWO OUTCOMES.

>>677997007
>One is heads. What chance is there that the other was heads?

That's not the question in the OP.

>>677999000

No, it means 100%, 0%, or if you want to do the math BEFORE the coins are flipped (you know, the right way), 1/3

>>677999316
Well ok but we arent doing the math before.

Gonna get 999999 get and prove 1/3 wrong

>>677990786
how is H T different than T H ?

>>677999569
Yep

>>677999226
>repeating the same fucking answer
Are you a fucking robot or something?

>>677999440

Then we aren't doing math, period.

>>677999607
It isnt. They are doing math before and the question doesnt ask that.

>>677998402

It seems you're the only one getting mad at being stupid instead of reading and learning the correct solution.

>>677999283
>THERE IS NO TH AND HT.
>obviously never took a statistics class
Retard.

>Coin A | Coin B
>H | H
>H | T
>T | H
>T | T

If HT and TH aren't separate possibilities, then either coin A or coin B could not be tails if the other was heads.

WITNESS ME 999999 I CHOOSE YOU 1/3 IS WRONG

>>677987610
everybody knows its 1.2 faggots

>>678000072
Fuq i got the 70000000 get on pol so i thought i could do this.

>>677999138

No. Forget about the result of the first toss. That is superfluous information that you do not have any knowledge of.

The only information you are given is that 2 regular coins were flipped and at least 1 of them landed heads.

you don't know which. It could be either, meaning either coin could be tails, just not both, meaning there are 3 possible outcomes, all of which are equally likely

heads/heads
heads/tails
tails/heads

So 1/3

>>678000072
Well you tried, that's what counts

>>679999999

>>678000450
Yeah which leaves interpretation that you either get a heads or tails first meaning if you get a heads it's 1/2 and if you get a tails it's 1/3

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Ok, so so far in this thread we have had anons who say the answer is 1/3 and they have provided:
>mathematical proofs
>Venn diagrams
>probability trees
>computer simulations
>Bayes' theorem
>probability charts
>typed explanations with sound logic

And then we have the 50% anons who have:
>refused to accept they are wrong
>insulted and abused
>offered no logical argument
>offered no mathematical solution


Hmmmm, I wonder what the correct answer is.

Protip: It's not 1/2

>>678000699

How do you come to that conclusion? that makes no sense.

>>678001068
>>678000450
>>677999226
>>677998167
>>677997256
>>677996880
>>677996526
>>677996079
>>677995853
>>677995640
>>677995222
>>677994883
>>677994446
>>677994142
>>677993889
>>677993321
>>677992932
>>677992184
>>677991577
>>677991259
>>677990988
>>677990656
>>677990376
>>677989862
>>677989593
>>677988962
>>677988024
Obvious samefag.

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>>678001455

Obvious madfag.

>>677996533
It's implied.

>>678001198
You know that you have a heads right, if that heads is first the second toss has a 1/2 chance of getting hh (ht or hh). However if you get a tails first then it's 1/3 (th ht hh). 2 different possible outcomes

>>677987610
>what is the gamblers fallacy?

its a 50/50 it doesnt matter how many tmes you flip or how many times it come up at what end

>>677991039

Prior odds × likelihood ratio =~ posterior odds

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>>678001763
>You know that you have a heads right,

Yes. it could be either coin. That means either coin could still be tails.

>if that heads is first the second toss has a 1/2 chance of getting hh (ht or hh)

Yeah, and if that heads is the second the first toss has a 1/2 chance of being heads.

What's your point?

You're not making any sense.

When you flip 2 regular coins, there are 4 equally probable possibilities:

HH
HT
TH
TT

If at least 1 coin landed heads, that eliminates the TT possibility ONLY.

The other 3 possibilities are STILL possible and all equally probable.

That is why the answer is 1/3

See University of Washington slide 4
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf

1/3

>>678002300

>posts about gambler's fallacy
>thinks the answer is 50%

Jesus Christ.

Answer is 1/3

See slide 4
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf

>>678002704
Your image just proves my point, 2 possible outcomes depending on the first flip

>>678003273
Ignore him, anon.
Can't you see he's the same faggot posting over and over again? He's trolling you and everyone else who is right.

>>678003273

The OP question is the 2nd half of that slide.

There aren't 2 answers to the OP question.

There is 1 correct answer.

The answer is 1/3.

>>678003503
When the variable are just too much for you too handle

>>678001739

Then it's implied the outcome is forced and you still do the math BEFORE flipping the coins

>>677989593
This makes sense but really the whole coin flip thing is just a trick question.

Reason being is that it doesn't tell you to take into consideration whether or not the same outcome still counts toward a different part of the whole.

If there is one guaranteed heads and the only other outcome is for the other coin to either be heads or tails then the answer would be 1/2 if you weren't counting if the first coin was tails and the next coin was the one that could be heads. That's where people get mixed up.

This is a bad question because if two "regular" coins were flipped it wouldn't be a given that at least one of them landed heads. My first thought was that one of the coins must have heads on both sides, in which case, the chance would be 1/2. But I guess a two-headed coin wouldn't qualify as "regular". But neither does a set of coins imbued with a mystical force that prevents them from ever both landing on tails on the same toss.

If the question had stated that any TAIL/TAIL tosses wouldn't count and would be redone, then it would be easy to see that the answer is 1/3.

>>678002300

See

>>677994439

>>678003906
>the whole coin flip thing is just a trick question.

There is no trick.

It's a common basic conditional probability question.

Answer is 1/3 btw.

>>678003996

>conditional probability
>mystical force

Jesus Christ.

Hey anon, I flipped a coin. it landed heads.

I guess it must be a magic coin according to you, as opposed to just landing on heads by chance.

>>678004336
My point is that the problem is when people confuse the same outcome with 2 different answers

H T
T H

The people saying it's 1/2 see those as the same answer, either that or they believe the first coin is either not flipped or always lands on heads while the second one is the only one without a constant variable.

>>677987610

50%. You only have to take into account the coin whose result you don't know, because the outcomes of each coin have no bearing on one another. So the coin you don't know has a 50/50 chance of landing on heads, matching the one that's already on heads.

>>678004681

Yes, I think you're right.

People actually believe that HT and TH are the same thing, and that is why they get the answer wrong.

Oh, and stupidity.

>>678004838
Your post is wasted.

The dumbfuck will just reply with >1/3 again.
I guarantee it.

>>678004838

You don't know which coin landed heads.

3 possibilities:

hh
th
tt

1/3

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Suppose a coin is flipped enough times, one day it will land on its edge.

>>678004838

Both coins have LANDED

you know the outcome of BOTH coins