(Answered) Ann and bill play rock-paper-scissors each has a strategy

Statistics

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.

What is the probability Ann wins the first round.? (Remember that a tie is a possibility.)Prob =

What is the probability that Ann's first win happens in round #3?Prob =

What is the probability that Ann's first win comes after round #3?Prob =

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