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 Sapient Practice Set

  • 1 / 3

    A Russian gangster kidnaps you. He puts two bullets in consecutive order in an empty six-round revolver, spins it, points it at your head and shoots. You're still alive. He then asks you, do you want me to spin it again and fire or pull the trigger again right away? For each option, what is the probability that you'll be shot?

  • 2 / 3

    You and your friend are caught by gangsters and made to play a game to determine if you should live or die. The game is simple.

    There is a deck of cards and you both have to choose a card. You can look at each other’s cards but not at the card you have chosen. You both will survive if both are correct in guessing the card they have chosen. Otherwise, both die.

    What is the probability of you surviving if you and your friend play the game optimally?

  • 3 / 3

    The Greek philosophers

    One day three Greek philosophers settled under the shade of an olive tree, opened a bottle of Retsina, and began a lengthy discussion of the Fundamental Ontological Question: Why does anything exist?

    After a while, they began to ramble. Then, one by one, they fell asleep.
    While the men slept, three owls, one above each philosopher, completed their digestive process, dropped a present on each philosopher's forehead, the flew off with a noisy "hoot." Perhaps the hoot awakened the philosophers.
    As soon as they looked at each other, all three began, simultaneously, to laugh.

    Then, one of them abruptly stopped laughing. Why?