Home
Class 12
MATHS
The probability that a man can hit a tar...

The probability that a man can hit a target is 3/4 and the probability that he will hit atleast `n-1` times is `189/256` , then the number of times, n he tried is

Text Solution

Verified by Experts

Probability that the man will hit the target at least n-1 times times=>`.^nC_(n-1)(3/4)^(n-1)(1/4)+(3/4)^n`
. on solving we get=>`(3/4)^n(n/3+1)=189/256`
`n/3+1=189`
`n=4`
Promotional Banner

Similar Questions

Explore conceptually related problems

The probability that a man can hit a target is 3//4 . He makes 5 trials. The probability that he will hit the target every time he hits is

The probability that a man can hit a target is 3//4 . He makes 5 trials. The probability that he will hit the target every time he hits is

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

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

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