The relationship between smoking and cancer is well known.
In a particular state’s population, the following probabilities have been ascertained:
|smokes and is diagnosed with cancer||0.09|
|smokes and is not diagnosed with cancer||0.22|
|does not smoke and is diagnosed with cancer||0.03|
|does not smoke and is not diagnosed with cancer||0.66|
A person is randomly selected from this population. The individual is a smoker.
What is the probability that the individual has been diagnosed with cancer?