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There are $n$ children in a family $P(boy)=P(girl)=1/2$.

$A$ = “The family has children of both genders”.

$B$ = “There is at most one girl in the family”.

For which values of $n$ the events $A$ and $B $ are independent?

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    Ddi you try to apply the definition? – 2017-02-07
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    When does $P(A\cap B) = P(A)P(B)$? – 2017-02-07
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    To get started, pick some small values for $n$, say $n≤4$ and see how it goes. – 2017-02-07

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