# Bayes' Theorem in Clincal Settings: Testing For Cancer a Second Time

**Discrete Mathematics**Level 3

In a previous problem on a patient who receives a positive result in a cancer screen we determined what were the odds that this patient has cancer.

But are the odds that the patient has cancer if they are tested a second time and receive a positive result for the second test as well?

From before, you should assume there is 1% prevalence rate (that 1% of the population has breast cancer), a hit rate (sensitivity) of 80%, and a false positive rate of 9.6% on the initial test.

Please provide this percentage answer as an integer with no remainder, for instance 11 for 11.2137%, as opposed to entering 0.11. And **hint** you will need the answer to the previous problem, linked to again here.