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The probability that both will experience allergies to pollen is 0.0484, and the probability that at least one will is 0.9516.
The following information is provided in the question:
A large country has a pollen allergy rate of about 22%.
As a result, the probability of people has a chance of having an allergy is 0.22.
P(allergic) = 0.22
P(Not allergic) = 1 - 0.22 = 0.78
If A and B are independent even, then,
P(A∩B) = P(A) × P(B)
Two people are randomly selected.
a) P( both will be allergic to pollen)
Since these are independent events,
P(both will be allergic to pollen)= P(allergic)*P(allergic)
= 0.22*0.22 = 0.0484
b) P(at least one person is allergic to pollen)
= 1 - P(both are not allergic to pollen)
= 1 - P(P(not allergic)*P(not allergic))
= 1 - (0.22*0.22)
= 0.9516
To learn more about probability, visit the link below:
brainly.com/question/15102803
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