• @[email protected]
    link
    fedilink
    55 months ago

    Sisyphus would only be happy if he ends up on a game show where he can win a car if he picks which one of the three doors is correct. Sisyphus picks door number 1 and then the host reveals door number 3 as one of the doors that does not have the car. The host gives Sisyphus a chance to change his pick to door number 2. Does Sisyphus change his pick?

    • @[email protected]
      link
      fedilink
      English
      15 months ago

      Sisyphus could try to change his pick, but he could never get there. He could only change half his pick, then half his remaining pick, then half the remaining remaining pick, and so on until nearly all his pick is changed. It could never be entirely changed though. It also comes with free choice of topping.

    • @[email protected]
      link
      fedilink
      15 months ago

      He doesn’t change his pick. He just divides his decision into an infinite field of points, moving half of them to door #2, allowing him to fully choose both doors.