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Marbles

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Senior | Next Rank: 100 Posts
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by rish » Mon Aug 03, 2009 11:16 am
A student is asked to pick marbles from a bag that contains 18 marbles. Eight marbles are red, 4 are green, and 6 are black. What is the minimum number of marbles that a blindfolded student would have to draw from the bag to be certain of having at least three marbles of the same color?

A) 5

B) 6

C) 7

D) 13

E) 14
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Re: Marbles

by quant-master » Mon Aug 03, 2009 11:21 am
rish wrote:A student is asked to pick marbles from a bag that contains 18 marbles. Eight marbles are red, 4 are green, and 6 are black. What is the minimum number of marbles that a blindfolded student would have to draw from the bag to be certain of having at least three marbles of the same color?

A) 5

B) 6

C) 7

D) 13

E) 14
Let's consider the worst case.

The student should have 3 marbles of the same colour, after 6 draws the worst case will be 2 marbles of each colour. When he draws the next ball, no matter what the colour is, he will have 3 balls of same colour for sure.

Hence C

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Quant-Master
https://gmat-quants.blocked - My Blog Updated almost daily with new quant fundas. Find collection of quants question in my blog
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