Two Basic Rules of Probability: example 3.19

Refer to the information in Example 3.18. P = tests positive.

1. Given that a woman develops the disease, what is the probability that she tests positive? Find P(P|B) = 1 − P(N|B).
2. What is the probability that a woman develops the disease and tests positive? Find P(B AND P) = P(P|B)P(B).
3. What is the probability that a woman does not develop the disease? Find P(B′) = 1 − P(B).
4. What is the probability that a woman tests positive for the disease? Find P(P) = 1 − P(N).