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Originally Posted by Ken G
The issue is, if you set up the experiment as described, and repeated it millions of times, you'll find that the vast majority of the times that a 7 was chosen, the selection came from the small urn, if you have a 50/50 chance of choosing either urn.
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That's not the same thing, though. Saying you perform the experiment and then check the value is not the same as fixing the value and then performing the experiment!