Thanks for this comment! I thought this thread was dead. I was searching for online simulators that let me tweak the rules of the game, but I could only find t

Thanks for this comment! I thought this thread was dead. I was searching for online simulators that let me tweak the rules of the game, but I could only find those that follow the original rules of the puzzle. In thinking more about the Ignorant Monty scenario, I realized it's equivalent to having 3 contestants pick doors: Me Montgomery Switchy McSwitcherson First I pick a door. Then Montgomery picks a door. Finally Switchy McSwitcherson gets the remaining door. Once all the picking is done, Montgomery opens his door first, and is saddened to see a goat. At this point, who is more likely to win? Me or Switchy McSwitcherson? Since we both had 1/3 initial odds, there's symmetry there, and one of us can't reap all the odds-boosting. But the classic puzzle is more like a 2-contestant game, where I pick a door, the host selects a goat to reveal (and reveals it), then Switchy McSwitcherson is assigned the remaining door. In that scenario, I'm mad that they made me pick first before the host eliminated a door for Switchy. Switchy enjoys all the odds boosting.