Answer:
Probability of both people being allergic: 0.81%.
Probability of at least one being allergic: 17.19%
Step-by-step explanation:
If the probability of one person being allergic to pollen is 9%, the probability of two people selected being both allergic is:
0.09 * 0.09 = 0.0081 = 0.81%
The probability of at least one being allergic can be calculated with 1 minus the probability of both not being allergic.
If the probability of being allergic is 9%, the probability of not being allergic is (1 - 0.09) = 0.91 = 91%.
So, the probability of both not being allergic is:
0.91 * 0.91 = 0.8281
Then, The probability of at least one being allergic is:
1 - 0.8281 = 0.1719 = 17.19%
