Qm
Probability

Having at least one of three food allergies

inclusion-exclusionthree-eventssurvey

In a clinic sample, 40%40\% are allergic to peanuts, 30%30\% to shellfish, and 20%20\% to dairy. For overlaps, 20%20\% are allergic to peanuts and shellfish, 10%10\% to peanuts and dairy, 10%10\% to shellfish and dairy, and 5%5\% to all three.

What is the probability that a randomly chosen person has at least one of the three allergies?

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