Mathematics

Todd Weeks

13 April, 11:00

Suppose Freddy meets this girl at a party and manages to impress her enough to score her phone number. But when he

gets home, he realizes that the last two digits of the phone number were smudged beyond recognition because his hands

were ridiculously sweaty.

a.) What is the probability that Freddy guesses the last two digits on the first try?

b.) What is the minimum amount of calls he would have to make to guarantee that he got through to this girl?

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