0.1864. A new patient is given the test and tests positive. What is the probability that this patient actually has cancer given they tested positive?

Doctors are interested in creating a test to screen patients for a type of cancer. It is known that the probability that an individual has this type of cancer is equal to 0.000083. While developing the test, it is discovered that the probability of testing positive given that the patient actually has the cancer, is equal to 0.8375. It is also descovered that the probability of a false positive, meaning testing positive given that the patient does not have cancer, is 0.1864. A new patient is given the test and tests positive. What is the probability that this patient actually has cancer given they tested positive?

Posted in Uncategorized