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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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The probability that event A occurs is 1/3, and the probability that e  [#permalink]

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09 Feb 2018, 00:44
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97% (00:33) correct 3% (00:55) wrong based on 68 sessions

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[GMAT math practice question]

The probability that event A occurs is $$\frac{1}{3}$$, and the probability that event B occurs is $$\frac{1}{12}$$. If events A and B are independent, what is the probability that both events A and B occur?

$$A. \frac{1}{6}$$
$$B. \frac{1}{12}$$
$$C. \frac{1}{15}$$
$$D. \frac{1}{18}$$
$$E. \frac{1}{36}$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Retired Moderator Status: Preparing for GMAT Joined: 25 Nov 2015 Posts: 987 Location: India GPA: 3.64 Re: The probability that event A occurs is 1/3, and the probability that e [#permalink] ### Show Tags 09 Feb 2018, 01:06 MathRevolution wrote: [GMAT math practice question] The probability that event A occurs is $$\frac{1}{3}$$, and the probability that event B occurs is $$\frac{1}{12}$$. If events A and B are independent, what is the probability that both events A and B occur? $$A. \frac{1}{6}$$ $$B. \frac{1}{12}$$ $$C. \frac{1}{15}$$ $$D. \frac{1}{18}$$ $$E. \frac{1}{36}$$ Probability of both events A and B to occur = P(A) x P(B) = $$\frac{1}{3}$$ x $$\frac{1}{12}$$ = $$\frac{1}{36}$$ Answer E. _________________ Please give kudos, if you like my post When the going gets tough, the tough gets going... Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6815 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The probability that event A occurs is 1/3, and the probability that e [#permalink] ### Show Tags 11 Feb 2018, 17:01 => If events A and B are independent, then $$P(A∩B) = P(A)P(B)$$. So, $$P(A∩B) = P(A)P(B) = \frac{(1}{3)}*\frac{(1}{12)} = \frac{1}{36}.$$ Therefore, the answer is E. Answer : E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: The probability that event A occurs is 1/3, and the probability that e  [#permalink]

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12 Feb 2018, 16:35
MathRevolution wrote:
[GMAT math practice question]

The probability that event A occurs is $$\frac{1}{3}$$, and the probability that event B occurs is $$\frac{1}{12}$$. If events A and B are independent, what is the probability that both events A and B occur?

$$A. \frac{1}{6}$$
$$B. \frac{1}{12}$$
$$C. \frac{1}{15}$$
$$D. \frac{1}{18}$$
$$E. \frac{1}{36}$$

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.

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Jeffery Miller

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Re: The probability that event A occurs is 1/3, and the probability that e &nbs [#permalink] 12 Feb 2018, 16:35
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