# The Bayesian problem that 95 out of 100 physicians get wrong

**Discrete Mathematics**Level 3

Estimate the probability of a breast cancer in a given patient, given the patient receives a positive result on a cancer screening test.

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%.

Please provide this answer as a percentage to the tenth's digit, for instance 1.1 for 1.1%, as opposed to entering 0.011.