Current Events > If a family has two children and you already know one of them is a girl.

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MyWifeBeatsMe
09/24/19 10:51:55 PM
#1:


Then what is the probability that the second child is also a girl?
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Johnny_Nutcase
09/24/19 10:52:45 PM
#2:


You don't speculate. Final answer.
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_Rinku_
09/24/19 10:54:09 PM
#3:


It's 50% or what ever the typical distribution favoring X-sperm over Y-sperm is.
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Foppe
09/25/19 1:18:21 AM
#4:


That depends if you calculate them separately or goes out of the way with what are the chances to give birth to two females which is not related to this question BS.
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DrizztLink
09/25/19 1:21:16 AM
#5:


The child is a planet and the Y chromosome bus a room outside

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Panthera
09/25/19 1:27:40 AM
#6:


You have to think outside the box
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Paragon21XX
09/25/19 1:28:56 AM
#7:


50%

P(A|B) only applies if known event B can directly influence the outcome of A, that is A is not independent of B.
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Hmm...
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masterbarf
09/25/19 1:31:47 AM
#8:


Assuming a single child has an equal chance of being either a boy or a girl, I want to say the answer is 1/3. If I'm thinking about it correctly, there are three situations in which we can know one of the kids is a girl. In two of those situations the other is a boy. Only one scenario contains two girls.

This is very similar to a question somebody here asked a while ago where you had to count the number of scenarios with the given information. I got it before, but there was a debate over the wording of the question.
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scar the 1
09/25/19 1:34:00 AM
#9:


Paragon21XX posted...
50%

P(A|B) only applies if known event B can directly influence the outcome of A, that is A is not independent of B.

It's actually not uncommon for women to be e.g. allergic to testosterone or have other kind of unknown conditions that influence likelihood of which sex the baby is.
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Aristoph
09/25/19 1:38:07 AM
#10:


Overall Possibilities:
1 = B, 2 = B
1 = B, 2 = G
1 = G, 2 = B
1 = G, 2 = G

We know one of them is a girl, so the first possible combination is ruled out. Of the remaining 3 options, only 1 of them has a second girl.

Therefore it is 1/3.
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konokonohamaru
09/25/19 1:45:27 AM
#11:


Since it's asking the probability that the SECOND child is a girl, knowing only that ONE of the children is a girl, the answer is 2/3
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radical rhino
09/25/19 1:49:06 AM
#12:


50%

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FL81
09/25/19 1:51:24 AM
#13:


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masterbarf
09/25/19 1:59:09 AM
#14:


konokonohamaru posted...
Since it's asking the probability that the SECOND child is a girl

I think he worded the question poorly. He should have said "other" instead of "second" as knowing one of the kids is a girl is different than knowing the first kid is a girl. The question in the topic title conflicts with that in the post, unless you know what he's getting at.
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