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MathNet 2000 — Math Olympiad Vault Question 158

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 158

In a country, one percent of the population has a particular disease. The test for infection is wrong in one percent of cases. Lorenzo takes the test and the result says he is ill. What is the probability he is healthy?

(A) $99/10000$
(B) $1/100$
(C) $99/5000$
(D) $1/2$
(E) $99/100$.