A probability problem by cool dude

Teanchi and Beanchi are a married couple (don't ask me who he is and who she is). They have two kids, one of them is a girl. Assume safely that the probability of each gender is 1 2 \dfrac12 . What is the probability that the other kid is also a girl?

1 1 1 2 \frac12 1 4 \frac14 1 3 \frac13

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1 solution

Cool Dude
Jun 7, 2016

This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.

The following are possible combinations of two children that form a sample space in any earthly family: Girl - Girl, Girl - Boy, Boy - Girl, Boy - Boy,

Since we know one of the children is a girl, we will drop the Boy-Boy possibility from the sample space. This leaves only three possibilities, one of which is two girls. Hence the probability is 1/3

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