It is currently 17 Feb 2018, 21:23

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4863
GPA: 3.82
The probability that event A occurs is 1/3, and the probability that e [#permalink]

### Show Tags

09 Feb 2018, 00:44
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

96% (00:19) correct 4% (00:55) wrong based on 27 sessions

### HideShow timer Statistics

[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?

$$A. \frac{1}{6}$$
$$B. \frac{1}{12}$$
$$C. \frac{1}{15}$$
$$D. \frac{1}{18}$$
$$E. \frac{1}{36}$$
[Reveal] Spoiler: OA

_________________

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Senior Manager
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 478
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 $$\frac{1}{12}$$
= $$\frac{1}{36}$$

_________________

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: 4863
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, $$P(A∩B) = P(A)P(B) = \frac{(1}{3)}*\frac{(1}{12)} = \frac{1}{36}.$$

_________________

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1975
Re: The probability that event A occurs is 1/3, and the probability that e [#permalink]

### Show Tags

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.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: The probability that event A occurs is 1/3, and the probability that e   [#permalink] 12 Feb 2018, 16:35
Display posts from previous: Sort by