Problem 10TE

Two percent of women age 45 who participate in routine screening have breast cancer. Ninety percent of those with breast cancer have positive mammographies. Eight percent of the women who do not have breast cancer will also have positive mammographies. Given that a woman has a positive mammography, what is the probability she has breast cancer?

Solution:

Step 1 of 2:

Two percentage of women who participate in routine screening have breast cancer.

Ninety percent of those with breast cancer have positive mammographies.

Eight percent of the women who do not have breast cancer will also have positive mammographies.

We have to find the conditional probability that she has breast cancer, given that a woman has a positive mammography.