Problem 3. You play a game multiple times that has probability of winning equal to p € (0,1); assume the outcome each time you play is independent of the other times you played. Find exact expressions for the following. a) The probability that you win exactly three times in 10 plays. b) The probability that you win for the first time on your 10th play. c) The probability that you win for the third time on your 10th play.

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