Re: What are the odds of winning?
Is there an inaccuracy in the description of the problem?
As the host knows where the prize is, they can only open all but one of the booby prize doors. They can't ever open the prize door. It would be unfair.
It's can't be a real type of game show scenario, and that is where the confusion lies. As there is no win or lose in the 1st round, you add the win options and the lose options together, giving 3 in 3 in odds for that 1st round.
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