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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 ?

Correct Answer: [1, 1/2]

Explanation:

Probability of atleast one failure
= 1 - no failure > 31/32
= 1 - P 5  > 31/32
=   P 5 < 1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].


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