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A large group of people is to be checked for two common symptoms of a certain disease. It is
thought that
20% possess symptom A alone;
30% possess symptom B alone
10% possess both
the remainder have neither symptoms
If one person chosen at random from this group, find the conditional probability P(A | B).
Solution
P(A and B) = 0.1
P(B) = 0.3
so P(A/B) = P(A and B) / P(b) = 0.1/0.3 = 1/3

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  • 1. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% possess symptom A alone; 30% possess symptom B alone 10% possess both the remainder have neither symptoms If one person chosen at random from this group, find the conditional probability P(A | B). Solution P(A and B) = 0.1 P(B) = 0.3 so P(A/B) = P(A and B) / P(b) = 0.1/0.3 = 1/3