The probability of India winning a test match against the West Indies is 1/2 assuming independence from match-to-match. The probability that in a match series India'* second win occurs at the third test, is
(a) 1/8
(b) 1/4
(c) 1/2
(d) 2/3
The correct option is (b) 1/4.
Explanation:
Let A1, A2 and A3be the events of match winning in first, second and third matches respectively and whose probabilities are