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In a Certain Lottery Game, You Choose a Set of Four

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In a certain lottery game, you choose a set of four different integers between 1 and 50, inclusive, and a fifth integer between 1 and 20, inclusive, which may be the same as one of the other four. (a) What is the probability you win the jackpot by matching all five numbers drawn? (b) What is the probability that you match three of the first four numbers, but not the fifth?


Definitions:

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A promise by a company to pay shareholders a minimum dividend each year.

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