The probability that any given person is allergic to a certain drug is .03. what is the probability that none of the 3 randomly selected persons is allergic to this drug? assume that all 3 persons are independent.

=0.912673

Explanation:

Given : The probability that any given person is allergic to a certain drug  :

The number of persons randomly selected = 3

Using binomial distribution,

, where P(x) is the probability of getting success inn x trials , n is the number of trails and  p is the probability of getting success inn each trial.

Then , the  probability that none of the 3 randomly selected persons is allergic to this drug:-

Hence, the probability that none of the 3 randomly selected persons is allergic to this drug = 0.912673

avoiding recreational drugs instead of using them