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9 November, 22:00

The odds are two to one that, when A and B play tennis, A wins. Suppose that A and B play two matches. What is the probability that A wins at least one match?

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  1. 9 November, 23:02
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    Answer: 8/9

    Step-by-step explanation:

    Taking the probability as

    AA = 4/9 AB = 2/9 BA = 2/9 BB = 1/9

    These spaces AA, AB, BA, BB is indicates who wins each game.

    There is a 2/3 probability that A will win any particular game.

    But considering that these events are independent events, the probability that A wins both games is 2/3 and 2/3 which equals to 4/9.

    Therefore the probability that A wins at least one match would be 1 - P (BB).

    And this gives 1 - (1/9) =

    8/9
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