Recent years, the genetic test was used for cancer screening. BRCA ½ are two gen
ID: 3055742 • Letter: R
Question
Recent years, the genetic test was used for cancer screening. BRCA ½ are two genes related to breast cancer. When the BRCA ½ mutation testing is positive, the women will be in higher risk of developing breast cancer over the lifetime. According to European Molecular Genetics Quality Network*, that 97.1% of women with BRCA ½ mutation and 2.7% of women without BRCA ½ mutation are tested with positive results in genetic laboratories test. From the literature, the prevalence of BRCA ½ mutation among women in the general population is 0.2%
What is the probability that a woman randomly selected from the population has BRCA ½ mutation given that her BRCA ½ mutation test is positive
Explanation / Answer
P( BRCA ½ test positive)=-P(has BRCA ½ and test positive +do not have BRCA ½ and test positive)
=0.002*0.971+(1-0.002)*0.027=0.0289
hence probability that a woman randomly selected from the population has BRCA ½ mutation given that her BRCA ½ mutation test is positive =P(has BRCA ½ and test positive)/P(test positive)
=0.002*0.971/0.0289 =0.0672
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