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AP® Statistics

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Smoking and Cancer

APSTAT-1BNPEY

The relationship between smoking and cancer is well known.

In a particular state’s population, the following probabilities have been ascertained:

Event Probability
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?

A

$0.09$

B

$0.12$

C

$0.29$

D

$0.34$

E

$0.75$