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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
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SJ wrote:
A jar contains 20 marbles: 4 red, 6 white and 10 blue. If you remove marbles one at a time, randomly, what is the minimum number that must be removed to be certain that you have at least 2 marbles of each colour?

A. 6
B. 10
C. 12
D. 16
E. 18


Assume the worst case scenario, that is, you remove all 10 blue marbles and all 6 white marbles; you still don’t have any marbles in red. However, if you remove 2 more marbles (and they must be red), then you will have at least 2 marbles of each color. Therefore, you need to remove a total of 18 marbles to ensure you will have at least 2 marbles of each color.

Answer: E
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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
what I don't understand is why this must be a worst case scenario. the question asks for the minimum number that must be removed -- doesn't that mean best case scenario? In which case, wouldn't the answer be 4 red+6 white+2 blue = 12?
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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
EACH COLOUR = SAME COLOUR ....
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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
sandy, what may be an example of the problem when we should assume best case scenario?
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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A jar contains 20 marbles: 4 red, 6 white and 10 blue [#permalink]
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