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India plays 4 matches with Australia. Th...

India plays 4 matches with Australia. The probability of india winning a match is `3/4` and loosing match is `1/4`. Find the probability of india winning `3^(rd) " time in " 4^(th)` match.

Text Solution

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India winning `3^(rd) " time in " 4^(th)` match
=(India winning twice in first 3 matches)x(India winning `4^(th)` match)
`=""^3C_2(1/4)^1(3/4)^2xx3/4=81/256`
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