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  3. JAMIA MILLIA ISLAMIA

JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The probability of India winning a test match against West indies is \[({{x}^{2}}-y{{x}^{2}})\frac{dy}{dx}+{{y}^{2}}+x{{y}^{2}}=0\] assuming independence from match to match the probability that in a 5 match series Indias second win occurs at the third test, is :

    A)  2/3                                       

    B)  ½

    C)  1/4                                       

    D)  1/8

    Correct Answer: C

    Solution :

                    The sample space is [LWW, WLW] probability that is 5 match series, it is Indias second win\[=P(LWW)+P(WLW)\]\[P(L)P(W)P(W)+P(W)P(L)P(W)\]                 \[=\frac{1}{8}+\frac{1}{8}\]                 \[=\frac{2}{8}=\frac{1}{4}\]


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