Researchers have for a long time been interested in the relationship between cigarette smoking and lung cancer. The following table shows the percentages of adult females observed in a recent study.

Smokes Does Not Smoke Gets Cancer 0.06 0.03 Does Not Get Cancer 0.15 0.76

a. Display the information on this 2 2 table as a Venn diagram using “smokes” and “gets cancer”

as the two events displayed as circles. Explain how the Venn diagram and the given 2 2 table display the same information.

Suppose an adult female is randomly selected from this particular population. What is the probability of the following:

b. She smokes and gets cancer.

c. She smokes.

d. She does not get cancer.

e. She does not smoke or does not get cancer.

f. She gets cancer if she smokes.
g. She does not get cancer, knowing she does not smoke.