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1. A lottery exists where balls numbered 1 through 20 are placed in an urn. To win, you must match the three balls chosen in

1. A lottery exists where balls numbered 1 through 20 are placed in an urn. To win, you must match the three balls chosen in the correct order. Repetitions of balls are not allowed.

(a) How many possible outcomes are there for this game?

(b) What is the probability of winning the game? [Round your answer to six decimal places, as needed.]

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