# How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

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You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, "Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die."

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

posted Dec 17, 2015

I'll first put 25 black marbles in each bowl. I'll then put 25 white marbles in each bowl on top of black marbles. So, even if bowls' positions are changed while I'm blindfolded and asked to pick one marble from a bowl, I'll probably be picking the white marble anyway.

answer Dec 17, 2015 by anonymous

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