Probability To calculate the probability of an event based on the outcome of a test

timer Asked: Aug 31st, 2015

Question description

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 98% accurate.  If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?

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