This is a thread for rationality-related or LW-related jokes and humor. Please post jokes (new or old) in the comments.
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Q: Why are Chromebooks good Bayesians?
A: Because they frequently update!
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A super-intelligent AI walks out of a box...
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Q: Why did the psychopathic utilitarian push a fat man in front of a trolley?
A: Just for fun.
That is correct. Your probability distribution is no longer symmetrical after the first flip, which means that on the second flip, the symmetry argument I made above no longer holds, and you get information about whether the coin is biased or approximately fair. That doesn't matter for the first flip though. Did you read the last paragraph in my previous comment? If so, was any part of it unclear?
That does not follow from anything you wrote before it (the 45 degree straight line part is particularly irrelevant).
Hm. Interesting how what looks like a trivially simple situation can become so confusing. Let me try to walk through my reasoning and see what's going on...
We have a coin and we would like to know whether it's fair. For convenience let's define heads as 1 and tails as 0, one consequence of that is that we can think of the coin as a bitstring generator. What does it mean for a coin to be fair? It means that expected value of the coin's bitstring is 0.5. That's the same thing as saying that the mean of the sample bitstring converges to 0.5.
Can we know for ce... (read more)