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# Grace has 16 jellybeans in her pocket. She has 8 red ones, 4

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Intern
Joined: 06 Sep 2012
Posts: 4
Location: United States
Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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Updated on: 02 Nov 2012, 13:10
8
00:00

Difficulty:

5% (low)

Question Stats:

78% (00:45) correct 22% (01:29) wrong based on 220 sessions

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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

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.
Math Expert
Joined: 02 Sep 2009
Posts: 65808
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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02 Nov 2012, 13:15
2
1
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.

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Manager
Joined: 25 Jun 2012
Posts: 55
Re: One more easy question  [#permalink]

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02 Nov 2012, 11:56
1
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.
Math Expert
Joined: 02 Sep 2009
Posts: 65808
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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03 Apr 2016, 10:45
1
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.

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.
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Joined: 24 Nov 2015
Posts: 467
Location: United States (LA)
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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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
Intern
Joined: 16 Dec 2013
Posts: 32
Location: United States
GPA: 3.7
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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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.

Shouldn't it be 9 actually...in case she picks G and B, then on 9th trial she can get a R.
Manager
Joined: 13 Apr 2019
Posts: 179
Location: India
Concentration: Marketing, Operations
GMAT 1: 690 Q49 V35
GPA: 3.5
WE: General Management (Retail)
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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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
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4   [#permalink] 04 Aug 2019, 03:56