One in 10000 women have cervical cancer In screening for the

One in 10,000 women have cervical cancer. In screening for the cancer a biopsy is performed and the test correctly identifies 90% of all the women who have the disease, but it also gives one false positive out of every 1000 patients. Given the biopsy registered positive, find the probability that the woman actually has cervical cancer.

Solution

A=The women has cervical cancer

B=The biopsy registered positive

P(A|B)=0.9/0.999=0.9

The probability that the woman actually has cervical cancer is 90%