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In a five-match Test series between India and West Indies, suppose each match is independent and the probability that India wins any one match is 1/2. What is the probability that India’s second victory comes in the third Test?
- 2/3
- 1/2
- 1/4
- 1/8
Correct answer: 1/4
Solution
The second win occurring in the third Test means exactly one win in the first two matches and a win in the third: C(2,1)(1/2)^2 * (1/2) = 2*(1/4)*(1/2) = 1/4.
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