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JEEMAIN-2014
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The probability of India winning a test match against england is $\large\frac{1}{2}$ Assuming independent from match to match the probability that in a 5 match series india's second win occurs of the third test is
$\begin{array}{1 1} \large\frac{1}{8} \\ \large\frac{1}{4} \\ \large\frac{1}{2} \\\large\frac{2}{ 3} \end{array} $
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