Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Oct 2016, 05:18

### 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

# A jar contains only red, yellow, and orange marbles. If there are 3 re

Author Message
TAGS:

### Hide Tags

Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 103
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)
Followers: 2

Kudos [?]: 127 [0], given: 15

A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

16 Oct 2010, 05:28
5
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

84% (02:47) correct 16% (02:48) wrong based on 127 sessions

### HideShow timer Statistics

A jar contains only red, yellow, and orange marbles. If there are 3 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?

A. 1/60
B. 1/45
C. 2/45
D. 3/22
E. 5/22
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Sep 2014, 16:50, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 04 Jun 2010
Posts: 113
Concentration: General Management, Technology
Schools: Chicago (Booth) - Class of 2013
GMAT 1: 670 Q47 V35
GMAT 2: 730 Q49 V41
Followers: 14

Kudos [?]: 225 [3] , given: 43

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

16 Oct 2010, 06:22
3
KUDOS
vanidhar wrote:
A jar contains only red, yellow, and orange marbles. If there are 3 red, 5 yellow, and 4 orange
marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what
is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
A. 1/60
B. 1/45
C. 2/45
D. 3/22
E. 5/22

In total you have 3 different scenarios: (Y-Yellow , R-Red)
YYR, RYY,YRY after you will calculate the probability for each of these scenarios you'll have the answer.
YYR =$$\frac{5}{12}*\frac{4}{11}*\frac{3}{10}$$ = $$\frac{5*4*3}{12*11*10}$$
RYY =$$\frac{3}{12}*\frac{5}{11}*\frac{4}{10} = \frac{3*5*4}{12*11*10}$$
YRY = $$\frac{5}{12}*\frac{3}{11}*\frac{4}{10} = \frac{5*3*4}{12*11*10}$$

I intentionally don't calculate the fractions through because it is easier to reduce the fraction this way.
Sum them up => $$\frac{3*(5*4*3)}{12*11*10} = \frac{3}{22}$$ => answer D
_________________

Consider Kudos if my post helped you. Thanks!
--------------------------------------------------------------------
My TOEFL Debrief: http://gmatclub.com/forum/my-toefl-experience-99884.html
My GMAT Debrief: http://gmatclub.com/forum/670-730-10-luck-20-skill-15-concentrated-power-of-will-104473.html

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12239
Followers: 542

Kudos [?]: 151 [0], given: 0

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

27 Sep 2014, 16:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Senior Manager
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 366
Followers: 9

Kudos [?]: 138 [3] , given: 133

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

28 Sep 2014, 01:44
3
KUDOS
5C2*3C1=10*3=30
12C3=220

3/22

Intern
Joined: 19 Dec 2013
Posts: 11
GPA: 4
Followers: 0

Kudos [?]: 4 [1] , given: 11

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

29 Nov 2014, 21:29
1
KUDOS
2
This post was
BOOKMARKED
For me, combinations work better.
Ways for selecting 2 yellow marbles out of 5: 5C2
Ways for selecting 1 red marble out of 3: 3C1
Total no. of way for selecting 3 out of 12: 12C3
Probability: 5C2*3C1/12C3=3/22
Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 443
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Followers: 2

Kudos [?]: 98 [1] , given: 169

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

10 Jan 2015, 04:32
1
KUDOS
I started by finding the 2 probabilities, without calculation, like this:
P(YYR)
P(YRY)
P(RYY)

I calculated the first one and ended in 1/22. I looked at the answer choices at this point and saw answer D: 3/22.

This helped me realise that for the 3 possible orderings the probabbility is the same. So, it should be (1/22)*(3), which indeed is 3/22.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12239
Followers: 542

Kudos [?]: 151 [0], given: 0

Re: A jar contains only red, yellow, and orange marbles. If there are 3 re [#permalink]

### Show Tags

04 Jun 2016, 09:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A jar contains only red, yellow, and orange marbles. If there are 3 re   [#permalink] 04 Jun 2016, 09:06
Similar topics Replies Last post
Similar
Topics:
A jar of marbles contains 6 yellow and 4 blue 4 03 May 2016, 13:43
10 A jar contains 12 marbles consisting of an equal number of red, green, 6 16 Jul 2015, 11:07
2 A black box contains eight marbles, of which three are red, and the re 7 21 Jan 2015, 10:21
8 A jar contains 16 marbles, of which 4 are red, 3 are blue, a 6 14 Feb 2011, 17:24
20 A basket contains 3 blue, 3 red and 3 yellow marbles. If 3 20 16 Nov 2007, 07:46
Display posts from previous: Sort by