In a certain region of the country it is known from (last, experience that the: probability of selecting an adult over 40 years of age: with cancer is 0.05, If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the: probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that, a person is diagnosed as having cancer?