Question: 3.2.12 Let e, be the probability that exactly two people in a group of T have the same birthday, and let p , be the

3.2.12 Let

e, be the probability that exactly two people in a group of T have the same birthday, and let p , be the probability that everybody in the group has a different birthday. (i) Show that r ( r - 1)

e, = ~ 730 Pr-1.

(ii) Use the multiplication rule (Theorem 3.2.2) to show that r ( -~ 1 )

2 365 x 364 x ’ ’ x (365 - T + 2)

X 365’

e, = -

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