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The probability of India winning a test ...

The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to match, find the probability that in a match series Indias second win occurs at the third test.

Text Solution

Verified by Experts

The correct Answer is:
`1//4`
Required probability is
`P(barA_(1)nnA_(2)nnA_(3))+P(A_(1)nnbarA_(2)nnA_(3))`
`=1/2xx1/2xx1/2+1/2xx1/2xx1/2=1/8+1/8=2/8=1/4`
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