GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 23 Jun 2021, 12:03
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Breaking into Big Tech - How to land a Job at Apple, Facebook, Amazon and Google
We Interview Tech PM's
Go to Live Q&A Schedule
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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

avatar
MariaF
Intern
Intern
Joined: 06 Sep 2012
Posts: 4
Location: United States
Concentration: Marketing, International Business
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  Updated on: 02 Nov 2012, 13:10
9
Bookmarks
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

79% (00:44) correct 21% (01:28) wrong based on 269 sessions

Hide Show timer Statistics

Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by MariaF on 02 Nov 2012, 11:18.
Last edited by Bunuel on 02 Nov 2012, 13:10, edited 1 time in total.
Renamed the topic and edited the question.
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
avatar
actleader
Manager
Manager
Joined: 25 Jun 2012
Posts: 55
Re: One more easy question [#permalink] New post  02 Nov 2012, 11:56
1
Kudos
MariaF wrote:
ok... My brains don't work for today....
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16


Maria,
I doubt if it is al-gebra.
It is a probability problem.

Grace, in the worst case may take out 8 red jellyes ► 4 green ► and the next will be the blue one.
So 13 - is the minimum number of jellybeans.
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77420
Premium Member CAT Tests Top Member of the Month
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  02 Nov 2012, 13:15
2
Kudos
1
Bookmarks
Expert Reply
MariaF wrote:
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16


The worst scenario is when she takes 8 red and 4 green, total of 12 jellybeans, and still doesn't have 3 distinct colors. But the next draw (13th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.

Answer: D.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
G
rhine29388
Senior Manager
Senior Manager
Joined: 24 Nov 2015
Posts: 445
Location: United States (LA)
Reviews Badge
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  01 Apr 2016, 13:21
The worst case arises when she takes 8 red and 4 green, and still doesn't have 3 distinct colors. So she draws (13th) next which will surely be the third color jellybean (blue) as no other colour jellybean is left in her pocket
Answer - D
avatar
B
Avinashs87
Intern
Intern
Joined: 16 Dec 2013
Posts: 31
Location: United States
GPA: 3.7
GMAT ToolKit User
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  03 Apr 2016, 06:19
Bunuel wrote:
MariaF wrote:
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16


The worst scenario is when she takes 8 red and 4 green, total of 12 jellybeans, and still doesn't have 3 distinct colors. But the next draw (13th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.

Answer: D.


Shouldn't it be 9 actually...in case she picks G and B, then on 9th trial she can get a R.
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77420
Premium Member CAT Tests Top Member of the Month
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  03 Apr 2016, 10:45
1
Kudos
Expert Reply
Avinashs87 wrote:
Bunuel wrote:
MariaF wrote:
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16


The worst scenario is when she takes 8 red and 4 green, total of 12 jellybeans, and still doesn't have 3 distinct colors. But the next draw (13th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.

Answer: D.


Shouldn't it be 9 actually...in case she picks G and B, then on 9th trial she can get a R.


For such cases when we should ensure, guarantee some outcome we always consider the worst case scenario. For 9 picks it's possible that Grace picks 8 R's and 1 G.

Check other Worst Case Scenario Questions from our Special Questions Directory to understand the concept better.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
G
azhrhasan
Manager
Manager
Joined: 13 Apr 2019
Posts: 160
Location: India
Concentration: Marketing, Operations
Schools: Rotman '23 (D), Ivey '22
GMAT 1: 690 Q49 V35
GPA: 3.5
WE:General Management (Retail)
Reviews Badge
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  04 Aug 2019, 03:56
MariaF wrote:
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

A. 4
B. 8
C. 12
D. 13
E. 16


13 (8+4+1) worst case
User avatar
V
akadiyan
BSchool Moderator
Joined: 31 May 2017
Posts: 919
Concentration: Technology, Strategy
Schools: IIM, Cass, Oxford Said
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink] New post  26 Nov 2020, 13:23
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?

We need to maximize the worst case possibiilty for questions such as this

Total jellybeans = 16
Red =8
Green = 4
Blue = 4

Worst case can be first 8 draws are Red and next 4 are Green, even after 12 draws not all colors are represented. But in the 13th draw, the color has to be Blue. So minimum number of draws required is 13

Ans : 13
_________________
GMATCLUB QUANT Practice Sets Link Collection |Last 30 days before GMAT | How to improve your verbal score

Profiles of Admitted applicants 2021 Intake
Signature Read More
GMAT Club Bot
gmatclubot
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 [#permalink]
26 Nov 2020, 13:23
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10024 posts
Bunuel
Math Expert
77417 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2547 posts
generis
Senior SC Moderator
4822 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions