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AP® Statistics

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Moderate

Events A and B

APSTAT-QLT4VY

Consider events A and B. Suppose the following:

P(event A and not B) = $0.12$
P(event B and not A) = $0.22$
P(events A and B) = $0.18$

Are events A and B independent?

A

It is clear that events A and B are not independent since P(A and B) is greater than zero.

B

Events A and B are independent since at least one of them must occur.

C

Events A and B are not independent since $0.12+0.22+0.18$ is not equal to $1$, or $100\%$.

D

Events A and B are not independent since ($0.3$) x ($0.4$) is not equal to $0.18$.

E

Events A and B are not independent since ($0.12$) x ($0.22$) is not equal to $0.18$.