Math CentralQuandaries & Queries


Question from pankaj, a student:

Q.The probability of india winning a test match against india is 1/2. Assuming independence from match to match. what is the probability that india's second win occurs at 3rd test in a 5 match series?


For India's second win to be on the third test its record for the first three tests must be win loss win or loss win win. Since each win, and hence each loss, has probability 1/2 and the events are independent, the probability of a win loss win in the first three tests is 1/2 × 1/2 × 1/2 = 1/8.

Can you complete the problem now?

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