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    TAZINC's Avatar
    TAZINC Posts: 1, Reputation: 1
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    #1

    Nov 26, 2011, 11:01 AM
    statistics help for students?
    Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = 0.7, P(A beats C) = 0.6, P(B beats C) = 0.9, and that the outcomes of the three matches are independent of one another.
    (a) What is the probability that A wins both her matches and that B beats C?


    (b) What is the probability that A wins both her matches?




    (c) What is the probability that A loses both her matches?




    (d) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
    Kukunamun's Avatar
    Kukunamun Posts: 3, Reputation: 2
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    #2

    Nov 28, 2011, 09:37 AM
    (a) 0.7333...

    (b) 6.5

    (c) 3.5

    (d) 0.6333... or 0.3333... (and there's way more)
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