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What is the probability experiment among the many behaviors that come out of Monty Hall's problem? Is the probability question at Monty Hall including the

What is the probability experiment among the many behaviors that come out of Monty Hall's problem?

Is the probability question at Monty Hall including the first choice of the door, or do you want to change the door or not?

Explain about whether both behaviors are probabilistic meaningful probability experiments or just some of them.

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