A family has 3 children, each of whom is a boy or a girl with probability 1/2.

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A family has 3 children, each of whom is a boy or a girl with probability 1/2.

Let A = “there is at most 1 girl” B = “the family has children of both sexes.”

(a) Are A and B independent?

(b) Are A and B independent if the family has 4 children?

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