10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six

    A) \[\frac{3}{4}\]

    B) \[\frac{1}{4}\]

    C) \[\frac{1}{2}\]

    D) 1

    Correct Answer: B

    Solution :

    As given that a number other than six has appeared. So, the man repeating it to be six means he is speaking false. Effectively the question is asking the probability P (He will lie) \[=1-\frac{3}{4}=\frac{1}{4}\] Hence, probability that he reports it is a six is \[\frac{1}{4}\]


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