The probability of India winning a test match against West Indies is 12. Assuming independence from match  to match, the probability that in a five match series India's second win occurs at third test is

Given thatP( India wins )=p=1/2∴ P( India loses )=p′=1/2Out of 5 matches, India's second win occurs at third test. Hence, India wins third test and simultaneously it has won one match from first two and lost the other. Therefore, the required probability is P(LWW)+P(WLW)=123+123=14