Riddle Black And White Marbles

A probability brain teaser.

Riddle black and white marbles.

You will be blindfolded and the bowls and marbles will be thoroughly mixed. You are a prisoner sentenced to death. Since you know that the box is labeled incorrectly it must have all black marbles or all white marbles. He gives you 50 black marbles 50 white marbles and 2 empty bowls.

By selecting only one marble determine how you can correctly lable the boxes. The emperor offers you a chance to live by playing a simple game. Which box should you remove a marble from to. Mislabeled boxes of marbles.

Place 1 white marble in the bowl and place the rest of the marbles in the other bowl 49 whites and 50 blacks. However the king was very mean and he wickedly placed 2 black marbles in the jars without any blue marbles. One box has all black marbles one has all white marbles and one has a mixture of black and white. But even if you choose the other bowl you still have almost a 50 50 chance at picking one of the 49 white marbles.

The box labelled white must then be labelled both because you know it is also labeled incorrectly and therefore. Get free riddles by email. Three boxes contain black and white marbles. If the prisoner picked the blue marble he would escape the prison with his life.

This way you begin a 50 50 chance of choosing the bowl with just one white marble therefore life. You are a prisoner sentenced to death. One of the marbles was supposed to be black and one was supposed to be blue. The emperor offers you a chance to live by playing a simple game.

You can divide them however you want as long as all the marbles are in the bowls. He gives you 50 black marbles 50 white marbles and 2 empty bowls and instructs you to divide the 100 marbles into the two bowls. Three closed boxes have either white marbles black marbles or both and they are labeled white black and both. However you re told that each of the labels are wrong.

Notice that all black and all white are the same in the sense that they are the same color. If a black marble comes out you know that has to be the black marbles box so you put the black label on it. He then says divide these 100 marbles into these 2 bowls.