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Marble Counting (Posted on 2003-03-14) Difficulty: 1 of 5
A box contains 12 marbles of three different colors – Green, Yellow and Blue – 4 of each.

If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one color among the marbles picked out ?

  Submitted by Ravi Raja    
Rating: 1.7273 (11 votes)
Solution: (Hide)
Suppose you draw three marbles from the box, then there is a possibility that all three are of different colors (though it is always possible that the first two drawn are of the same color, but here we are to find the number of balls to be drawn such that we are sure that at least two among them are of the same color).

Now, if you draw a fourth marble from the box, then it has to be one of a 'Green', a 'Yellow' or a 'Blue' marble, which implies that now we are sure to have at least two marbles of the same color.

Therefore, the answer is: Four marbles.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionExplanation for Puzzle AnswerK Sengupta2022-03-04 00:54:11
Puzzle AnswerK Sengupta2022-03-04 00:46:55
SolutionSolution - POPsassy2004-04-29 11:41:55
SolutionSolutionLewis2003-06-08 10:24:10
re: Part 1,The bagRavi Raja2003-03-23 20:28:52
Part 2:Timothy's pickTim Axoy2003-03-23 09:45:27
Part 1,The bagTim Axoy2003-03-23 09:40:29
re: solutionfwaff2003-03-18 22:13:30
Solutionsolutionsilvis2003-03-18 14:09:03
Solutionfull solutionluvya20032003-03-15 12:57:31
Socks revisitedBrian Nowell2003-03-14 17:33:24
Not too hard :)Gamer2003-03-14 11:08:23
Solutionsolutionluvya20032003-03-14 11:07:40
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