Conditional Probability - Exam

#1
Someone can help me please, I need to understand them for my exam on Monday in next week. Today is Saturday.....Thanks a lot.....

USING AND INTERPRETING CONCEPTS

1. BRCA gene
In the general population, one woman in eight will develop breast cancer.
Research has shown that one woman in 250 carries a mutation of the BRCA gene. Eight 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.

2. Assisted Reproductive Technology
Astudy found that 24% of the assisted repoductive technology (ART) cycles resulted in a pregnancy. Seven percent of the ART pregnancies resulted in multiple births.

(a) Find the probability that a randomly selected ART cycle resulted in a pregnancy and produced a multiple birth.

(b) Find the probability that a randomly selected ART cycle resulted in a pregnancy did not produced a multiple birth.