Four Jacks are in a deck of cards.
The Jack of Clubs and the Jack of Diamonds have two eyes.
The Jack of Hearts and the Jack of Spades have one eye.
Can you tell how many eyes are on the four cards?
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You are a prisoner in a strange land, and you have been sentenced to death. However, the ruler of the land is willing to give you a chance to escape. He will place two jars in front of you, one containing 50 black marbles and the other containing 50 white marbles. You will choose one jar at random, and then you must draw marbles from that jar until you have drawn 10 marbles. If you manage to draw all 10 marbles of the same color, you will be set free. If not, you will be put to death.
However, the ruler of the land is not entirely fair. He has secretly removed one of the marbles from one of the jars, making it impossible to draw all 10 marbles of the same color from that jar. You do not know which jar has the missing marble.
How can you maximize your chances of choosing the jar with the missing marble and therefore increase your chances of survival?
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You are given a rectangular sheet of paper that is twice as long as it is wide.
You are also given a pair of scissors.
How can you cut the sheet of paper into two pieces such that the ratio of the length to the width is 1:2 in both pieces?
Note: you can only make one cut with the scissors.
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