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Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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Updated on: 02 Nov 2012, 14:10
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Question Stats:
76% (00:48) correct 24% (01:29) wrong based on 202 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?
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.
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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02 Nov 2012, 14:15
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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.
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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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
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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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.
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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03 Apr 2016, 11:45
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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.
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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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
gmatclubot
Re: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4
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04 Aug 2019, 04:56
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76% (00:48) correct 
