Two Basic Rules of Probability · Example 5

Refer to the information in. P = tests positive.

(a) Given that a woman develops breast cancer, what is the probability that she tests positive. Find P(P$|$B) = 1 - P(N$|$B).
(b) What is the probability that a woman develops breast cancer and tests positive. Find P(B $\cap$ P) = P(P$|$B)P(B).
(c) What is the probability that a woman does not develop breast cancer. Find P(B′) = 1 - P(B).
(d) What is the probability that a woman tests positive for breast cancer. Find P(P) = 1 - P(N).

OpenStax, Introductory Business Statistics 2e · §3.3 Two Basic Rules of Probability · Example 5