Consider 5 independent Bernoulli.s trials each with probability of success p. If the probability of at least one failure is greater than or equal to `(31)/(32)` , then p lies in the interval : (1) `(1/2,3/4]` (2) `(3/4,(11)/(12)]` (3) `[0,1/2]` (4) `((11)/(12),1]`

Explanation

p(atleast 1 failure) =`1- (P)^5 >= 31/32`

`1 - 31/32 > = p^5`

`1/32 >= p^5`

`1/2^5 >= p^5`

`1/2 >= p > = 0`

option 1 is correct