Recent news articles have discussed the connection between a rare genetic mutation and breast cancer in women. One of the companies offering this BRCA genetic test is Quest, and this company claims a 98.5% accuracy rate. In the general population about 1 in 405 people would actually carry this BRCA1 genetic mutation.

Use a population size of 40500 women.

What is the likelihood that someone has the BRCA mutation, if they test positive?

(Round your probability to the nearest tenth of a percent!)

Probability =%