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The probability that event A occurs is 1/3, and the probabil

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The probability that event A occurs is 1/3, and the probabil

by Max@Math Revolution » Fri Feb 09, 2018 12:34 am
[GMAT math practice question]

The probability that event A occurs is 1/3, and the probability that event B occurs is 1/12. If events A and B are independent, what is the probability that both events A and B occur?

A. 1/6
B. 1/12
C. 1/15
D. 1/18
E. 1/36
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by Max@Math Revolution » Sun Feb 11, 2018 4:50 pm
=>
If events A and B are independent, then P(A∩B) = P(A)P(B).
So, P(A∩B) = P(A)P(B) = (1/3)*(1/12) = 1/36.

Therefore, the answer is E.

Answer : E
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by Jeff@TargetTestPrep » Mon Feb 12, 2018 4:41 pm
Max@Math Revolution wrote:[GMAT math practice question]

The probability that event A occurs is 1/3, and the probability that event B occurs is 1/12. If events A and B are independent, what is the probability that both events A and B occur?

A. 1/6
B. 1/12
C. 1/15
D. 1/18
E. 1/36
When two events are independent, we simply multiply their respective probabilities together to determine the probability that both events will happen.

Thus, the probability that both events occur is 1/3 x 1/12 = 1/36.

Answer: E

Jeffrey Miller
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