Ann and bill play rock-paper-scissors. each has a strategy of choosing uniformly at random out of rock, paper, and scissors every round (making independent selections each round). each round can end in a win, loss, or a tie for each player.

a. what is the probability ann wins the first round. (remember that a tie is a possibility)

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b. what is the probability that ann's first win happens in round #5?

prob=
c. what is the probability that ann's first win comes after round #5?

prob=