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Don Schlesinger: No posts on this, please
With the conditions you stipulate, it is obvious that changing is correct, as it increases the probability of being right from the original 1/3 to a new, higher, 1/2.
Please, folks, no posts on this here. It's been done and redone a million times.
Don
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Oldster: Do not want to upset you Don, but
I always have to draw it out, but of the 3 possibilities, 2 are winners if you change doors after Monty opens the door without the big prize.
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Don Schlesinger: Yes, of course you are right
The easiest way for me to remember it is that if there are n doors, your first guess always gives you 1/n chance of being right, whereas, if all known wrong doors are eliminated, leaving only one more, and Monte (Monty?) "steers" you to that door, you obviously now have (n-1)/n probability of being right by switching.
And that's my (and everyone else's!!) FINAL answer! :-)
Don
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Jake { :>): Re: Yes, of course you are right
I think conditional probabilities is one of the concepts involved in the NRS formulas.
Jake
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