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    himanshu2610's Avatar
    himanshu2610 Posts: 2, Reputation: 1
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    #1

    Aug 6, 2009, 11:12 PM
    Mathematics probability
    Q:- Three horses A B and C are in race. A is twice as likely to win as B and B is twice as likely to win as C.what is the probability that B or C wins.
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Aug 6, 2009, 11:22 PM

    The total probability is 1.

    So, P(A)+P(B)+P(C)=1
    Since P(A) = 2P(B) and P(B)=2P(C), you can rewrite

    P(A)+P(B)+P(C)=1 as 2P(B)+P(B)+0.5P(B)=1

    Therefore P(B) = 1/(2+1+0.5) = 1/3.5 = 2/7

    For P(C), it'll be 4P(C)+2P(C)+P(C) = 1

    And P(C) = 1/(4+2+1) = 1/7

    P(B or C) = 1/7 + 2/7 = 3/7

    Ok? :)
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