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Why, thank you.

No, it isn't.

No, sticking is still a one in 3 chance, changing is a 2 in 3 chance, not 50/50.

Imagine no one opens any door, they just say, do you want to stick with what is behind your one door, or do you want to take what is behind the other two doors? You know without anyone opening anything that at least one of the other 2 doors is going to have nothing behind it, but you have 2...