Final answer:
The probability that a randomly selected woman will carry the mutation of the BRCA gene and develop breast cancer depends on several factors, including the specific gene mutation and individual factors.
Step-by-step explanation:
The probability that a randomly selected woman will carry the mutation of the BRCA gene and will develop breast cancer depends on several factors.
Firstly, it is important to note that not all women who carry the mutation will develop breast cancer. The BRCA1 and BRCA2 genes increase the risk of breast and ovarian cancer in women, but they do not cause cancer in every woman who inherits them. The mutations simply increase the risk of getting cancer.
According to the information provided, 55 to 65% of women with a harmful mutation in the BRCA1 gene will get breast cancer before age 70, compared to 12% of women in the general population who will get breast cancer over their lifetime. Therefore, the probability that a randomly selected woman will carry the mutation and develop breast cancer depends on the specific gene mutation and other individual factors.