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1995

JEE Main 1995 Mathematics question on Probability

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
  1. A.
    1/8
  2. B.
    1/4
  3. C.
    1/2
  4. D.
    2/3
Show answer and solution

Correct option: B

Solution

For India's second win to occur exactly at the 3rd test, India must win exactly 1 of the first 2 tests (and lose 1), then win the 3rd test.

P = C(2,1) × (1/2)1 × (1/2)1 × (1/2) = 2 × (1/4) × (1/2) = 1/4.

[1995]

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