Tuesday, June 7, 2022

Boy or girl paradox

 

Supposedly a friend of yours has 2 children and at least one of them is a boy. What is the probability that the other is also a boy?

Answer

 P(B)=P(G)=1/2

P(BB)=P(BG)=P(GB)=P(GG)=1/4

 Probability that the other one is a boy = P(B)=1/2

Probability that the other is also a boy, given at least one of them is a boy=P(BB)/[P(BB)+P(BG)+P(GB)]

=(1/4)/(3/4) =1/3


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