Wednesday 22 June 2011

DAY 333

You have 100 marbles, 50 white and 50 black, and two bowls. You may divide the marbles in any way between the two bowls, but you must use all 100 of them. You will then be blindfolded, the two bowls will be mixed up, and you will pick one marble from one of the bowls. What is the best way to divide the marbles between the two bowls to give you the best chance of picking
a white one?

Answer:

Put one white marble in one of the bowls and the 99 others in the other bowl. This gives you a 50/50 chance of getting the bowl with the one white marble. If you get the other bowl, you still have a 49/50 chance of picking a white one.

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