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Math Help - odds

  1. #1
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    odds

    The odds that A speaks the truth are 3:2 and the odds that B speaks the truth are 5:3 . In what percentage of cases are they likely to contradict each other on an identical point ?

    Thanks .
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  2. #2
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    Quote Originally Posted by mathaddict View Post
    The odds that A speaks the truth are 3:2 and the odds that B speaks the truth are 5:3 . In what percentage of cases are they likely to contradict each other on an identical point ?

    Thanks .
    Pr(A speaks true) = 3/5.

    Pr(B speaks true) = 5/8.

    Pr(A and B contradict each other) = Pr(A speaks true) x Pr(B lies) + Pr(A lies) x Pr(B speaks true).
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