10th Class Mathematics Probability Question Bank Probability

  • question_answer
    A speaks the truth 3 out of 4 times, and B 5 out of 6 times. What is the probability that they will contradict each other in stating the same fact?

    A)  \[\frac{2}{3}\]                         

    B)  \[\frac{1}{3}\]

    C)  \[\frac{5}{6}\]                         

    D)  None of these

    Correct Answer: B

    Solution :

    (b) They will contradict each other if: A is true and B is false or A is false and B is true. \[\therefore \] Prob. \[=(3/4)\times (1/6)+(1/4)\times (5/6)=1/3\].


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