Suppose you have a friend with two children. He tells you that one is a boy born on a Friday.
What's the probability that both are boys?
Well, /sci/?
50%, we've been through this before
>>8241508
assuming no other information is available, roughly 50%.
I don't know if having one boy makes it more likely (genetically) to have another one or something like this, but I doubt it.
>>8241524
This.
Inb4: Frequentist vs. Bayesian debate
>>8241508
100%
>>8241533
What does this have to do with Frequents vs Bayesians?
>>8241508
50%
I'm not meming. Assuming boys and girls are equally likely to be born, it is 50% you dumb frogposter
>>8241508
Given the fact that the name Friday comes from the Old English Frīġedæġ, meaning the "day of Frige", and Frige was a goddess, the chance that an another boy is born on a Firday is pretty low. Say 25% or less.
1/3
Possibilities are
BG
GB
BB
>>8241508
just look up his facebook
>>8241610
But you already know, that the first one is not a girl. Therefore the possibilities are only
BB
BG
Therefore 50%.
>>8241508
>ITT: brainlets
>>8241508
4 possibilities
BB
BG
GB
GG
We know that at least one is a boy, meaning there are 3 possibilities.
BB
BG
GB
Of these, only one is both boys, and so the probability is .33
>>8242127
Wait, no, I'm fucking retarded, the probability is .50
Why is /sci/ so ignorant when it comes to probability? It's by far the subject most people get wrong around here. Maybe it's a big ruse and you guys just pretend to be retarded?
[math]\textbf{Bayes' theorem}[/math]
P(2B|1B) = P(1B|2B) * P(2B) / P(1B)
P(2B|1B) = 1 * 0.5^2 / (1-0.5^2)
P(2B|1B) = 0.25 / 0.75
P(2B|1B) = 0.333
>>8242150
Why are you ignoring the information that he was born on a Friday?
>>8241508
50/50 because their births are independent of each other and there is roughly a 50/50% chance of a child being male when concieved
>>8242159
>Why are you ignoring the information that he was born on a Friday?
Because this does not give you any useful information. If we knew whether he was born first or second would change the answer. The fact that he was born on a Friday adds nothing to the analysis.
It's 50%.
1 x 1/2 = .5
>>8242515
Did you try doing the analysis with the extra information?
(There are 14 possibilities for each child: Boy/Monday, ..., Boy/Sunday, Girl/Monday, ...,Girl/Sunday. If you do a similar analysis to your previous post you get a different answer)
>>8241677
He never said the first was a boy, though, only that one was a boy.
>>8241508
biologically, 50%.
not considering mutations that can make the baby born with both genitals.