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

- (3/4,11/2]
- (11/2,1]
- (1/2,3/4]
- [0,1/2]

**Answer**

1 - P^{5} ≥ 31/32

P^{5} ≤ 1/32

P ≤ 1/2

**The correct option is D.**