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29 November, 12:47

Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7, what is the probability that they will each win one game if they play two games

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  1. 29 November, 13:20
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    0.21

    Step-by-step explanation:

    Given that Jane is a better tennis player than Jack is. If the probability that Jane will beat Jack in any given game is 0.7,

    Probability for Jane beating Jack is 0.7 and hence

    Probability for Jack beating Jane is 0.3

    We find that each game is independent of the other

    If two games are played

    Probability that they will each win one game if they play two games

    = Prob that Jack wins one game * Prob that Jane wins one game

    = 0.7*0.3

    = 0.21

    (Since if A and B are independent events P (AB) = P (A) * P (B)
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