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Question: The probability of India winning a test match against West Indies is ½. Assuming independence from m...

The probability of India winning a test match against West Indies is ½. Assuming independence from match to match the probability that in a 5 match series India’s win occurs at third test is

A

1/8

B

¼

C

½

D

2/3

Answer

¼

Explanation

Solution

Here, we have to find the probability that at third test India won the series.

It happens, if India win first three matches

P(5) = 12×12×12=18\frac { 1 } { 2 } \times \frac { 1 } { 2 } \times \frac { 1 } { 2 } = \frac { 1 } { 8 }