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 3 1 3 2 , then p lies in the interval

Step-by-step solution

Probability of at least one failure = 1 - P no   failure = 1 - p 5 Now 1 - p 5 ≥ 3 1 3 2 ⇒   p 5 ≤ 1 3 2 ⇒   p ≤ 1 2 ∴   p ∈ 0 , 1 2