Jason bought 10 of the 30 raffle tickets for a drawing. Assuming that he chooses the winning ticket each time, what is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize, the ticket is thrown away?

Because each winning ticket is thrown away, the draws are without replacement. Jason’s chance of winning the first prize is 10/30; if he wins, his chance of winning the second is 9/29, and then 8/28 for the third. Multiply: (10/30)(9/29)(8/28) = 6/203, so the probability is 6 over 203.

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