{"self":"http://probly.dev/api/sim/gq4dDgL7DVbY3fGZrCfvqK/","id":"gq4dDgL7DVbY3fGZrCfvqK","created_at":"2026-02-05T10:12:05.562506Z","status":{"status":"SUCCESS","status_datetime":"2026-04-16T03:05:02.537345Z","time_elapsed":null,"done_at":null},"input_type":"esty","spreadsheet_input":null,"esty_input":{"content":"# The door containing the car\ncar_door = Discrete(1, 1/3, 2, 1/3, 3, 1/3)\n# The door we choose\nour_door = Discrete(1, 1/3, 2, 1/3, 3, 1/3)\n\n# The door Monty opens\nmonty_options = []\nfor _door in [1, 2, 3]:\n    if _door != car_door and _door != our_door:\n        monty_options.append(_door)\n\nif len(monty_options) == 1:\n    monty_door = monty_options[0]\nelse:\n    monty_door = Discrete(monty_options[0], 1/2, monty_options[1], 1/2)\n\n# The door to switch to\nfor _door in [1, 2, 3]:\n    if _door != our_door and _door != monty_door:\n        switch_door = _door\n\nswitch_payoff = 1 if switch_door == car_door else 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