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The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target atleast three times, is

Correct Answer: 459/512

Explanation:

Required Probability
Given, n = 5 and r = 3
Then, Success P = 3/4
Failure, q = 1 - 3/4 = 1/4
Man hit the target thrice
= 5c3 (3/4)3 (1/4)2 + 5c4 (3/4)3 (1/4) + 5c3(3/4)5
= (270/1024) + (405/1024) + (243/1024)
= 918/1024
= 459/512


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