GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Jan 2019, 08:50

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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra

Author Message
TAGS:

Hide Tags

Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

Updated on: 08 Apr 2018, 00:17
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:30) correct 24% (01:26) wrong based on 65 sessions

HideShow timer Statistics

A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

A. 1/6
B. 1/4
C. 2/5
D. 1/2
E. 2/3

Originally posted by nitinkarnwal on 07 Apr 2018, 13:01.
Last edited by Bunuel on 08 Apr 2018, 00:17, edited 1 time in total.
Edited the question and added the options.
Manager
Joined: 08 Sep 2016
Posts: 115
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

07 Apr 2018, 13:31
1
4/10 = rotten so 2/5 = rotten.
6/10 = good so 3/5 = good.

Probability of good from 3 drawn = 3/5 * 2/4 * 1/3 = 6/60 = 1/10
Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

07 Apr 2018, 23:55
What I think is:

According to the language of the question, 3 fruits are drawn simultaneously from the basket and are not drawn one by one.

Hence, P(none of the fruits drawn is rotten) = P (drawing a non-rotten fruit)= 6C3/10C3 = 1/6
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2722
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

07 Apr 2018, 23:57
2
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

Total Fruits = 10

Rotten = 4

NOT rotten = 10-4 = 6

Fruits to be picked = 3

Probability of none of the picked fruit rotten = 6C3 / 10C3 = 20 / 120 = 1/6

I hope this helps

Bunuel : You may please add the following options to the question to make it look like GMAT question

A) 1/2
B) 2/5
C) 1/4
D) 2/3
E) 1/6
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Math Expert
Joined: 02 Sep 2009
Posts: 52161
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

08 Apr 2018, 00:19
GMATinsight wrote:
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

Total Fruits = 10

Rotten = 4

NOT rotten = 10-4 = 6

Fruits to be picked = 3

Probability of none of the picked fruit rotten = 6C3 / 10C3 = 20 / 120 = 1/6

I hope this helps

Bunuel : You may please add the following options to the question to make it look like GMAT question

A) 1/2
B) 2/5
C) 1/4
D) 2/3
E) 1/6

Tank you. Done. Arranged options in ascending order as real GMAT questions have.
_________________
Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

08 Apr 2018, 09:07
GMATinsight wrote:
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

Total Fruits = 10

Rotten = 4

NOT rotten = 10-4 = 6

Fruits to be picked = 3

Probability of none of the picked fruit rotten = 6C3 / 10C3 = 20 / 120 = 1/6

I hope this helps

Bunuel : You may please add the following options to the question to make it look like GMAT question

A) 1/2
B) 2/5
C) 1/4
D) 2/3
E) 1/6

GMATinsight
Bunuel

P(drawing 3 rotten fruits) + P (drawing 3 non-rotten fruits) = 1

So, P (drawing 3 non-rotten fruits) = 1 - P(drawing 3 rotten fruits)
= 1 - ( 4C3 / 10C3)
= 29/30

But the correct answer is 5/6.
Senior Manager
Joined: 29 Dec 2017
Posts: 386
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

Updated on: 08 Apr 2018, 11:15
nitinkarnwal wrote:
GMATinsight wrote:
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are

P(drawing 3 rotten fruits) + P (drawing 3 non-rotten fruits) = 1

So, P (drawing 3 non-rotten fruits) = 1 - P(drawing 3 rotten fruits)
= 1 - ( 4C3 / 10C3)
= 29/30

But the correct answer is 5/6.

What about P(R+2 non R) and let's say P(2 R and 1 non R)? So you take only 2 combination out of many possible. The sum of all will give you 1.

Originally posted by Hero8888 on 08 Apr 2018, 09:33.
Last edited by Hero8888 on 08 Apr 2018, 11:15, edited 2 times in total.
Intern
Joined: 28 Apr 2015
Posts: 6
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

08 Apr 2018, 10:06
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

A. 1/6
B. 1/4
C. 2/5
D. 1/2
E. 2/3

P(None are rotten) = (6/10)*(5/9)*(4/8)
P(None are rotten) = (3/5)*(5/9)*(1/2)
P(None are rotten) = (3/9)*(1/2)
P(None are rotten) = (1/3)*(1/2)
P(None are rotten) = 1/6
_________________

Dan Morgan
MBA Wisdom
http://www.mbawisdom.com

Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

08 Apr 2018, 11:10
Thanks for the clarification. but there are only 4 combinations possible in this case :

P (3 non-R) + P (2 non-R and 1 R) + P (1 non-R and 2 R) + P (3 R) =1 .

The other two combinations P (2 R and 1 non-R) and P(1 R and 2 non-R) are just the same as already counted.
Manager
Joined: 20 Aug 2015
Posts: 96
Location: India
GMAT 1: 710 Q50 V36
GPA: 3
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

08 Apr 2018, 11:25
We need to choose 3 fruits out of 6 which are not rotten. Since the order does not matter,

6C3/10C3 = 1/6
Intern
Joined: 06 Dec 2017
Posts: 7
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra  [#permalink]

Show Tags

15 Apr 2018, 10:12
I did mine like this:
6/10 x 5/9 x 4/8 = 1/6
6 because there are 6 of them which are not rotten.
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra &nbs [#permalink] 15 Apr 2018, 10:12
Display posts from previous: Sort by

A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.