Monty Hall’s Deal or No Deal

I jumped in the middle of a "Deal or No Deal" episode at my family's house during the holidays. The contestant had 3 remaining briefcases in addition to the one she had chosen. Howie Mandel said, "You have a 1/4 chance." .... That doesn't sound right. According to the famous Monty Hall problem, it isn't. Let's apply the logic of the Monty Hall problem to the game show "Deal or No Deal" to determine the…

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