• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Jerome's refrigerator contains 4 cans of cola tagged by: Brent@GMATPrepNow ##### This topic has 3 expert replies and 0 member replies ### Top Member ## Jerome's refrigerator contains 4 cans of cola Jerome's refrigerator contains 4 cans of cola, 4 cans of root beer, and 4 cans of ginger ale. If Jerome were to randomly pull two cans out of his refrigerator, what is the probability that he would pull out one can of cola and one can of root beer? A. 1/11 B. 1/9 C. 8/33 D. 3/11 E. 1/3 Can some experts show the best solution? OA C ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12975 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply lheiannie07 wrote: Jerome's refrigerator contains 4 cans of cola, 4 cans of root beer, and 4 cans of ginger ale. If Jerome were to randomly pull two cans out of his refrigerator, what is the probability that he would pull out one can of cola and one can of root beer? A. 1/11 B. 1/9 C. 8/33 D. 3/11 E. 1/3 P(one can of cola and one can of root beer) = P(1st can is cola AND 2nd can is root beer OR 1st can is root beer AND 2nd can is cola) = P(1st can is cola AND 2nd can is root beer) + P(1st can is root beer AND 2nd can is cola) = P(1st can is cola) x 2nd can is root beer) + P(1st can is root beer) x P(2nd can is cola) = 4/12 x 4/11 + 4/12 x 4/11 = 4/33 + 4/33 = 8/33 = C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply lheiannie07 wrote: Jerome's refrigerator contains 4 cans of cola, 4 cans of root beer, and 4 cans of ginger ale. If Jerome were to randomly pull two cans out of his refrigerator, what is the probability that he would pull out one can of cola and one can of root beer? A. 1/11 B. 1/9 C. 8/33 D. 3/11 E. 1/3 Can some experts show the best solution? OA C Alternatively, we can go selection by selection. Say we pick a root beer can followed by a cola can P(selecting root beer first) = 4/12 = 1/3 P(selecting cola after having selected a root beer) = 4/11 P(selecting root beer first) * P(selecting cola after having selected a root beer) = 1/3 * 4/11 = 4/33 Of course, we could also have selected the cola first. The math will end up being identical: P(selecting cola first) = 4/12 = 1/3 P(selecting root beer after having selected a cola) = 4/11 P(selecting cola first) *P(selecting root beer after having selected a cola) = 1/3 * 4/11 = 4/33 Now add 'em up: 4/33 + 4/33 = 8/33. The answer is C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### GMAT/MBA Expert

Legendary Member
Joined
14 Jan 2015
Posted:
2667 messages
Followed by:
122 members
1153
GMAT Score:
770
lheiannie07 wrote:
Jerome's refrigerator contains 4 cans of cola, 4 cans of root beer, and 4 cans of ginger ale. If Jerome were to randomly pull two cans out of his refrigerator, what is the probability that he would pull out one can of cola and one can of root beer?

A. 1/11

B. 1/9

C. 8/33

D. 3/11

E. 1/3

Can some experts show the best solution?

OA C
P(x) = # ways x can occur/# Total possibilities;

# Total possibilities: There are 12 cans, and we're selecting 2, so we want 12C2 = 12*11/2! = 66. (We can select any of the 12 cans with our first selection and any of the 11 remaining cans with our second selection. We divide by 2! because the order doesn't matter.)

# ways we can select a can of cola = 4. # ways we can select a can of root beer = 4. # ways we can select a can of cola and one can of root beer = 4*4 = 16.

16/66 = 8/33. The answer is C

_________________
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 57 first replies
2 Jay@ManhattanReview 29 first replies
3 Brent@GMATPrepNow 29 first replies
4 GMATGuruNY 20 first replies
5 ceilidh.erickson 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

211 posts
2 Max@Math Revolution

Math Revolution

92 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

68 posts
4 Ian Stewart

GMATiX Teacher

65 posts
5 GMATGuruNY

The Princeton Review Teacher

39 posts
See More Top Beat The GMAT Experts