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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.

A

`1//8`

B

`1//4`

C

`1//2`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
B
Given P(India wins ) =1/2
`:.` P (India losses) =1/2
Out of 5 matches India 's second win occurs at third test .
`implies` India wins third test and simultaneously it has won one match from first two and lost the other .
`:.` Required probability =P(LWW)+P(WLW)
`=((1)/(2))^(3)+((1)/(2))^(3)=(1)/(4)`
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