Answer:
Option 3 is correct.
Step-by-step explanation:
Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate.
we have to find the probability that Nathan is not allergic to penicillin and the test predicts it.
As, Nathan has a 75% chance of having the same allergy.
Hence, (100-75)%=25% chance of not having the same allergy.
Also the test predicts given
∴ Probability that Nathan is not allergic to penicillin and the test predicts it is = [tex]25\%\times 98\%[/tex]
=[tex]0.25\times 0.98=0.245[/tex]
Hence, Option 3 is correct.
