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Discussion :: Probability

  1.  A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident?

  2. A.

    15%

    B.

    25%

    C.

    35%

    D.

    45%

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    Answer : Option C

    Explanation :

    Probability that A is telling the truth P(A)=75/100=3/4
    Probability that B is telling the truth P(B)=80/100=4/5
    Probability that A is lying P(A’)=1-75/100 =25/100=1/4
    Probability that B is lying P(B’)=1-80/100 =20/100=1/5
    Contradiction means either of 
              A telling truth and B lying
                             Or
              B telling truth and A lying
    P(Contradiction)= P(A)*P(B’) + P(A’)*P(B)=(3/4) * (1/5) + (1/4)*(4/5)=7/20
    7/20 is equal to 35 %.


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