Mysterious disease
Probability
Level
3
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 0.944.
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1 solution
The probability of being attacked is (1/4). So, the probability of NOT being attacked is (1-(1/4)) = (3/4). Therefore, the probability of (NO ONE of the 10 people will get attacked) is = ((3/4)^10). So, the probability of (AT LEAST one of them is infected) will be = {1-((3/4)^10)} = 0.943686485 = 0.944 is the answer.