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  • Guardian Weekly

    Diversions

    Dec 31, 2021 4 minutes

    PUZZLES

    Chris Maslanka

    Igor is sorting out Dr Acula’s sock drawer. Vampires dress in the dark, so Igor knows the old boy generally reaches in and withdraws one sock after another until he has a matching pair. He does not replace any socks he withdraws but leaves any undesired ones on the floor – well, he has a servant, after all. This evening there are 21 socks in the drawer to begin with, of which some are black and some are white. The chances of withdrawing a pair of white socks with his first two choices of sock are exactly ½. What are the chances of his withdrawing

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