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In the game “cobbler’s purse,” a player chooses a number in the set S = {2,...

In the game “cobbler’s purse,” a player chooses a number in the set S = {2, 3, . . . , 12}. and then rolls a pair of dice. The player wins if the sum of the results of the two dice is equal to the number chosen.

a). Assuming that the player chooses their number from the set S, each with equal likelihood, what is the probability that they will win?

b). Assuming that the player chooses their number from the set S, each with equal likelihood, what is expected number of games they will have to play in order to win?

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Answer #1

Ans. 1) 1/11

2) 11

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