Probability

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

Answer

1 - P5 ≥ 31/32

P5 ≤ 1/32

P ≤ 1/2

The correct option is D.