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The probability of India winning a match is 75% when Sachin scores a century. The probability of India winning a match against West Indies is 3/4. Find the probability of India winning the match against West Indies if Sachin scores a century.

1. 1/16
2. 3/4
3. 15/16
4. 9/16

Correct answer: 15/16

Solution

If the chance of winning with Sachin scoring a century is 3/4 and the chance of winning against West Indies is also 3/4, then the combined probability of winning in both conditions is 1 - (1/4)(1/4) = 15/16. This matches the intended conditional-style combination in the question.

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