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    Question

    In a best-of-two chess match between Player X and Player

    Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses a game is (6/9). What is the probability that the match will result in a tie, meaning both players win one game each?
    A 10/27 Correct Answer Incorrect Answer
    B 27/10 Correct Answer Incorrect Answer
    C 15/28 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ, The match will end in a tie if both players win one game each. This can happen in two ways: Player X wins the first game, and Player Y wins the second game. Player Y wins the first game, and Player X wins the second game. Required probability:

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