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The probability of India winning a test match against Australia is 1 4 . Assuming the matches to be independent events, the probability that in a 7 match series India’s second win occurs at 4 t h test is P , then 256 P is equal to

Correct answer

27

Step-by-step solution

2 n d win in 4 t h test ⇒ In the first 3 matches there must be exactly 1 win so, required probability = 3 C 1 1 4 1 3 4 2 1 4 P = 27 256

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