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n a contest the contestant is allowed to roll as many dice as he wants. If any of the dice comes up 1, the contestant

n a contest the contestant is allowed to roll as many dice as he wants. If any of the dice comes up 1, the contestant loses, but if not then he wins the sum. Find the expected value of the payoff if n dice are rolled. What number of dice is best to roll? How would you determine the probability of obtaining 20 or more points?

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