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

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

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New post Updated on: 02 Nov 2012, 14:10
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Question Stats:

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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, 12:18.
Last edited by Bunuel on 02 Nov 2012, 14:10, edited 1 time in total.
Renamed the topic and edited the question.
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Re: One more easy question  [#permalink]

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New post 02 Nov 2012, 12:56
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.
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Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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New post 02 Nov 2012, 14:15
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.

Answer: D.
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Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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New post 01 Apr 2016, 14:21
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
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Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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New post 03 Apr 2016, 07:19
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.
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Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4  [#permalink]

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New post 03 Apr 2016, 11:45
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.

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

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

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