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    Kirandeep Singh's Avatar
    Kirandeep Singh Posts: 2, Reputation: 1
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    #1

    Oct 24, 2007, 07:04 AM
    Regarding Probability
    The probabilities of two persons A and B for telling the truth are 4/5 and 3/4 respectively. Find the probability that they contradict each other when asked about same topic ?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 24, 2007, 08:31 AM
    You need to add the probabilities that both A and B tell the truth to the probability that both A and B are lying. Do you know how to calculate the probability that both tell the truth? Then, keep in mind that if the probability of a person telling the truth is x, then the probability of his lying is 1 - x, can you then calculate the probability that they are both lying? Add these together, and you have your answer.
    terryg752's Avatar
    terryg752 Posts: 197, Reputation: 4
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    #3

    Oct 24, 2007, 02:51 PM
    suppose probability of A telling the truth is x and B telling the truth is y

    Then probability of A lying is (1 -x) and B lying is (1 - y)

    Also remember that prabability occurrence of two independent events with probabilities X and Y = XY

    The probability of contradiction will be:

    (Probablity of A telling the truth and B lying) + (Probablity of B telling the truth and A lying)

    Probability of A telling the truth and B lying =
    (Probability of A telling the truth) (Prabability of B lying)

    Now you should be able to work out.
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