Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 13:24

### 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 certain basket contains 10 apples, 7 of which are red and

Author Message
TAGS:

### Hide Tags

Intern
Joined: 14 Sep 2010
Posts: 22
Followers: 1

Kudos [?]: 52 [1] , given: 0

A certain basket contains 10 apples, 7 of which are red and [#permalink]

### Show Tags

24 Jan 2011, 01:05
1
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:59) correct 27% (01:27) wrong based on 261 sessions

### HideShow timer Statistics

A certain basket contains 10 apples, 7 of which are red and 3 are green. If 3 different apples are randomly selected, what is the probability that out of those 3 , 2 will be red and 1 will be green ?

A. 7/40
B. 7/20
C. 49/100
D. 21/40
E. 7/10
[Reveal] Spoiler: OA
Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 327
Followers: 16

Kudos [?]: 749 [3] , given: 28

### Show Tags

05 Feb 2011, 07:38
3
KUDOS
1
This post was
BOOKMARKED

probability of getting RRG

$$= \frac{7}{10}*\frac{6}{9}*\frac{3}{8} = \frac{7}{40}$$

there are 3 different ways to get 2 red and 1 green {RRG, RGR, GRR}.

so probability = $$\frac{7*3}{40} = \frac{21}{40}$$

Ans: D

_________________

press kudos, if you like the explanation, appreciate the effort or encourage people to respond.

Math Expert
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106237 [2] , given: 11618

A certain basket contains 10 apples, 7 of which are red and [#permalink]

### Show Tags

24 Jan 2011, 02:34
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
A certain basket contains 10 apples, 7 of which are red and 3 are green. If 3 different apples are randomly selected, what is the probability that out of those 3 , 2 will be red and 1 will be green ?

1) 7/40
2) 7/20
3) 49/100
4) 21/40
5) 7/10

Probability = # of favorable outcomes / total # of outcomes;

$$P=\frac{C^2_7*C^1_3}{C^3_{10}}=\frac{21}{40}$$, where $$C^2_7$$ is # of ways to choose 2 different green apples out of 7, $$C^1_3$$ is # of ways to choose 1 red apple out of 3, and $$C^3_{10}$$ is total # of ways to choose 3 different apples out of total 10 apples.

Or by probability approach: $$P(RRG)=\frac{3!}{2!}*\frac{7}{10}*\frac{6}{9}*\frac{3}{8}=\frac{21}{40}$$, we are multiplying by 3!/2! as the case of GGR can occur in 3 ways: GGR, GRG, RGG - # of permutation of 3 letters out of which 2 are identical.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15466
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: A certain basket contains 10 apples, 7 of which are red and [#permalink]

### Show Tags

07 Nov 2014, 06:03
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15466
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: A certain basket contains 10 apples, 7 of which are red and [#permalink]

### Show Tags

23 Feb 2016, 14:39
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.
_________________
Re: A certain basket contains 10 apples, 7 of which are red and   [#permalink] 23 Feb 2016, 14:39
Similar topics Replies Last post
Similar
Topics:
10 A box contains 10 apples. 9 of which are red. An apple is drawn... 3 18 Nov 2016, 08:36
10 A basket contains 5 apples of which one is rotten. If Henry 5 06 Jan 2017, 09:31
A bowl contains 10 apples, 2 of which are bad. If someone randomly se 5 23 Apr 2010, 12:36
53 A basket contains 5 apples, of which 1 is spoiled and the 16 21 Jun 2016, 09:27
97 A bag of 10 marbles contains 3 red marbles and 7 blue 37 21 Jan 2017, 20:42
Display posts from previous: Sort by