Mysterious disease

If the probability of someone is attacked by a mysterious disease is 1/4 , of 10 people, what is the probability that there is at least one of them is infected??

give your answer in 3.d.p


The answer is 0.94368.

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1 solution

Mudit Jha
Sep 12, 2014

P(at least one is infected) = 1 - P(none are infected) [Since the two events are complementary] Hence, answer is 1 - 3^10/4^10 = 0.95 (approx)

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