Suppose that each child born to a couple is equally likely to be a boy or a girl, independently of the sex distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events:
(a) All children arc of the same sex.
(b) The 3 eldest arc boys and the others girls.
(c) Exactly 3 are boys.
(d) The 2 oldest arc girls.
(e) There is at least 1 girl.
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