Mathematics

Mathematics, 07.10.2021 14:00, negritoboy014

A game of tennis begins with a serve. Two friends, Mine and Kate will play a series of tennis games until one of them wins two games in a row. Mine serves the the first game with a serve. The serve alternates game by game between Mine and Kate. Mine has a 75% chance of winning a game if she serves and only a 10% chance of winning a game if Kate serves. If all games are independent, what is the probability that Mine is the first one to win two games in a row

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