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J & K CET Engineering J and K - CET Engineering Solved Paper-2014

  • question_answer
    The probability of India winning a test match against South Africa is \[1/2\]assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is

    A)  \[1/8\]            

    B)  \[1/2\]

    C)  \[1/4\]            

    D)  \[2/3\]

    Correct Answer: C

    Solution :

    Given, probability of winning a test match \[P(W)=\frac{1}{2}\] \[\therefore \] Probalitiy losing a match \[P(L)=1-\frac{1}{2}=\frac{1}{2}\] Probability that India?s second win occurs at the third day \[=P(L)P(W)P(W)+P(W)P(L)P(W)\] \[=\frac{1}{2}.\frac{1}{2}.\frac{1}{2}+\frac{1}{2}.\frac{1}{2}.\frac{1}{2}\] \[=\frac{1}{8}+\frac{1}{8}=\frac{1}{4}\]


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