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The probability that a man can hit a tar...

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

A

`(261)/(364)`

B

`(371)/((464)`

C

`(471)/(502)`

D

`(495)/(512)`

Text Solution

Verified by Experts

The correct Answer is:
4
Using binomial distribution
`P(x= 3) + P(x=4)+ P(x =5)`
So, the required probability is
`=.^(5)C_(3)((3)/(4))^(3) ((1)/(4))^(2) +.^(5)C_(4)((3)/(4))^(4)((1)/(4))^(1)+.^(5)C_(5)((3)/(4))^(5)((1)/(4))^(0)`
`= (459)/(512)`
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