## Monday, October 12, 2009

### Marbles in a Box, Marbles with a Fox

We have six white marbles, one red marble and four black marbles in a box.  What would be the smallest number of marbles that we need to take out of the box to guarantee that we get three of the same color?

1. Assuming you can't look when you're choosing the marbles, I'd say 6. The worst case would be 1 red, 2 white, 2 black, then the sixth choice has to make a set of 3.

2. 6 is the least attempt to ensure dat we get atleast 3 marbles of same colour

3. I was hoping to throw you off the trail by using the 'one marble' solution on Friday, but I guess I should have known better.

Six is the answer. The worst case scenario here is when you pull two white, two black, and one red marble. The sixth marble will be either white or black, giving you three of either.

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