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A prisoner will roll a fair die five times. If he rolls a total of more than 20 points, he will earn one hour of

A prisoner will roll a fair die five times. If he rolls a total of more than 20 points, he will earn one hour of recreation time; if exactly 20 points, he will earn library time for one hour; if less than 20 points, he will clean the floor for one hour. Find the probabilities of these three events.

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