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RIDDLES! A great way to make you feel stupid...

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So would the answer to number one apply to that game show Deal or No Deal? Such as would it be good to switch cases when it is narrowed down to two or am I completely off. I want to know if the probability changes because of the conditions from the question or if it really is better to switch.
 
Yes, on that game show, Monty Hall always revealed a losing door, and gave the audience member a chance to change their mind. In a similar situation, it would be necessary to know that the revealed door was chosen at random from the two remaining doors (and not chosen at random from all three doors, including the door you chose, as is the case in problem 8), or that the person revealing the losing door had no motive to do so.
 
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