A news story in 2008 in Great Britain featured a family with three children, all born on
. However, there are approximately 1,000,000 families in Great Britain with
(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?