In the general population one woman in 10 will develop breast cancer. Research has shown that 1 woman in 550 carries a mutation of the BRCA gene.

In the general population one woman in 10 will develop breast cancer. Research has shown that 1 woman in 550 carries a mutation of the BRCA gene. 7 out of 10 women with this mutation develop breast cancer. a. find the probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene. b. find the probability that a randomly selected woman will carry the mutation of the BRCA gene and will develop breast cancer.