Re: Being hot vs being due
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the correct answer (if it's possible that the coin is not fair) is switch to tails, because you have slightly more evidence that the coin is biased toward tails than toward heads.
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True, unless you suspect your friend of selectively unbalancing the coin. Then you'd be foolish to switch, because he offered you the switch, which must mean he's confident he can switch it back.
Other than subtleties of cheating at coin-flipping, this topic is a waste of disk space.
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