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I need a quick help with this problem i have been working with. I know the answer (from book). My question is how do I reach that answer. Now im not an expert in probability but I tried every way i can think of but to no avail.

The Answer in the Book:

**0.0960**

**Question:**In a certain region of the country it is known from past 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 an adult over 40 years of age is diagnosed as having cancer?

Please if you can solve this problem with the answer above can you please kindly post your working out as well.

Any help will be much appreciated.