GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 Apr 2018, 00:37

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
B
Joined: 07 Sep 2016
Posts: 10
CAT Tests
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post Updated on: 08 Apr 2018, 01:17
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:07) correct 21% (00:31) wrong based on 39 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
[Reveal] Spoiler: OA

Originally posted by nitinkarnwal on 07 Apr 2018, 14:01.
Last edited by Bunuel on 08 Apr 2018, 01:17, edited 1 time in total.
Edited the question and added the options.
Manager
Manager
avatar
B
Joined: 08 Sep 2016
Posts: 62
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 07 Apr 2018, 14:31
1
This post was
BOOKMARKED
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
Intern
avatar
B
Joined: 07 Sep 2016
Posts: 10
CAT Tests
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 00:55
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
Expert Post
2 KUDOS received
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2067
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 00:57
2
This post received
KUDOS
Expert's post
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

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44614
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 01:19
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 07 Sep 2016
Posts: 10
CAT Tests
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 10:07
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

What is the problem in the below solution? Please help.

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.
Intern
Intern
User avatar
B
Joined: 29 Dec 2017
Posts: 36
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GPA: 3.25
WE: Marketing (Telecommunications)
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post Updated on: 08 Apr 2018, 12:15
nitinkarnwal wrote:
GMATinsight wrote:
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are
What is the problem in the below solution? Please help.

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, 10:33.
Last edited by Hero8888 on 08 Apr 2018, 12:15, edited 2 times in total.
Intern
Intern
avatar
B
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

New post 08 Apr 2018, 11:06
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
Intern
avatar
B
Joined: 07 Sep 2016
Posts: 10
CAT Tests
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 12:10
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
Manager
avatar
B
Joined: 20 Aug 2015
Posts: 72
GMAT 1: 710 Q50 V36
GMAT ToolKit User
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 08 Apr 2018, 12:25
We need to choose 3 fruits out of 6 which are not rotten. Since the order does not matter,

6C3/10C3 = 1/6
Intern
Intern
avatar
B
Joined: 06 Dec 2017
Posts: 5
Re: A basket contains 10 fruits of which 4 are rotten. If 3 fruits are dra [#permalink]

Show Tags

New post 15 Apr 2018, 11:12
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   [#permalink] 15 Apr 2018, 11:12
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.