About 5% of the population of a large country is allergic to pollen. if two people are randomly selected, what is the probability both are allergic to pollen? what is the probability at least one is allergic to pollen? (a) the probability that both will be allergic to pollen is nothing. (round to four decimal places as needed.) (b) the probability that at least one person is allergic to pollen is nothing. (round to four decimal places as needed.)

a) 0.0025

b) 0.0975

Step-by-step explanation:

We are given the following in the question:

About 5% of the population of a large country is allergic to pollen.

Thus, probability that an individual has allergy is 0.05

P(allergic) = 0.05

P(Not allergic) = 1 - 0.05 = 0.95

If A and B are independent even, then,

Two people are randomly selected.

a) P( both will be allergic to pollen)

Since these are independent event,

b) P(at least one person is allergic to pollen)

7

step-by-step explanation: