A test for ovarian cancer has a 6 percent rate of false positives and a 2 percent rate of false negatives. On average, 3 in every 2,500 American women over age 35 actually has ovarian cancer. If a woman over 35 tests positive, what is the probability that she actually has cancer? Hint: Make a contingency table for a hypothetical sample of 100,000 women. (Round your answer to 5 decimal places.)