Doug Jones wrote:
> Case E: Host reveals a nonprize door only if the contestant's first
> choice is the prize. Contestant always switches when given a choice.
> WinRatio of zero, if contestant has no learning function, rising to one
> if contestant figures it out and host doesn't change strategy- which of
> course he will. I'm amazed nobody ever punched Monty's lights out.
Actually, we were assuming that the host's strategy, or set of
strategies with probability of each, was known to the contestant. This
would be a contestant coming into the game show after carefully
reviewing lots and lots of prior episodes, and maybe also sitting in
the audience for prior ones that season, or just asking contestants in
prior shows (perhaps in exchange for a small piece of the winnings).
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