However, the details of the problem matter more than you might think. On the original TV program, there were sometimes two contestants who picked doors for t

However, the details of the problem matter more than you might think. On the original TV program, there were sometimes two contestants who picked doors for the grand prize. In such cases Monty would sometimes reveal a small prize behind the door selected by one contestant, and then offer the other contestant the option to switch. In that situation, the frequentist logic works out exactly the opposite, and the logic that says 'switch is better' when there is only one contestant says 'switch is worse.'