A news story in 2008 in Great Britain featured a family with three children, all born on

January 291

. However, there are approximately 1,000,000 families in Great Britain with

three children.

(a) What is the probability that in at least one out of 1,000,000 three-child families, all three

children will have the same birthday?

(b) What is the (approximate) probability that out of 1,000,000 three-child families, there

are exactly two families with all their three children having the same birthday?

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