Probability 3 Question 16

16. The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to match the probability that in a 5 match series India’s second win occurs at third test, is

(1995, 2M)

(a) 1/8

(b) 1/4

(c) 1/2

(d) 2/3

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Solution:

  1. Given, P (India wins) =1/2

P (India losses) =1/2

Out of 5 matches India’s second win occurs at third test.

India wins third test and simultaneously it has won one match from first two and lost the other.

Required probability =P(LWW)+P(WLW)

=123+123=14



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