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Step-by-step explanation:
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The probability that Nathan is not allergic to penicillin, like his father and paternal grandfather, is <u>24.5%</u>.
<h3>What is probability?</h3>
Probability estimates the likelihood of an event occurring.
Probability is expressed as a percentage, decimal, or fraction, and must be less than or equal to one.
<h3>Data and Calculations:</h3>
Nathan's chances of having the same allergy = 75%
Nathan's probability of not having the same allergy = 25% (1 - 75%)
Accuracy of test performed by the doctor = 98%
The probability that Nathan is not allergic to the drug after the test = 24.5% (25% x 98%).
Thus, the probability that Nathan is not allergic to penicillin is <u>24.5%</u>.
Learn more about probability at brainly.com/question/251701
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