Mislabeled boxes of marbles.
Black and white marble riddle.
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A probability brain teaser.
You may reach into one of the boxes and pull out only one marble.
However you re told that each of the labels are wrong.
This way you begin with a 50 50 chance of choosing the bowl with one white marble and living.
The box labelled white must then be labelled both because you know it is also labeled incorrectly and therefore can t be white.
The next marble will be white.
Agneau if you pull out a black marble from the.
Tricky what runs around a house but does not move.
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The emperor offers you a chance to live by playing a simple game.
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Even if you choose the other bowl you still have an almost 50 chance of picking one of the 49 white marbles.
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Tricky what is black and white and is red all over.
So the mean king had to set him free.
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If a black marble comes out you know that has to be the black marbles box so you put the black label on it.
You are a prisoner sentenced to death.
He then says divide these 100 marbles into these 2 bowls.
Hence the probability of the remaining marble being white is 2 3.
The next marble will be black.
The marble was black and since the other marble was swallowed it was assumed to be the blue one.
He gives you 50 black marbles 50 white marbles and 2 empty bowls.
Possibility 1 you chose bag a and took out white marble 1.
Place one white marble in one bowl and place the rest of the marbles in the other bowl 49 whites and 50 blacks.
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Possibility 3 you chose bag c and took out white marble.
You would label the last box white because that is the only color box combo left.