You are making up a game for a fund-raiser. You take 5 table-tennis balls, numbe

Question

You are making up a game for a fund-raiser. You take 5 table-tennis balls, number them from 1 to 5, and put all 5 in a brown bag. Contestants will pick the 5 balls out of the bag one at a time, without looking, and line the balls up in the order they were picked. If the contestant picks, 1, 2, 3, 4, 5, in that order, then the contestant win a prize of $2. Otherwise, the contestant wins nothing. Each contestant pays $1 to play. a. What is the probability that a contestant will, but win the prize? Explain your reasoning.

Explanation / Answer

P( he wins the prize) = ?

This will happen only when he lines up the balls as 1,2,3,4,5

So, P( he picks orered 1,2,3,4,5) = 1 out of 5! ways

So, P( he wins the prize) = 1/5! = 1/120

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