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MathNet 2019-part-05 — 184 problems (EN–VI) Question 1

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 1

Among all victims of zombie bites, $10\%$ are prescribed the experimental drug Undetenin to treat them. Overall, $4\%$ of the human population suffer an adverse reaction to Undetenin. Out of all the patients being treated with Undetenin, $2\%$ suffer an adverse reaction to the drug. What is the probability that a patient allergic to Undetenin is prescribed the drug?
Answer: $5\%$