Question

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's second win occurs at the third test, is

(a) 1/8

(b) 1/4

(c) 1/2

(d) 2/3

Answer 1

The correct option is (b) 1/4.

Explanation:

Let A₁, A₂  and A₃ be the events of match winning in first, second and third matches respectively and whose probabilities are