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Post by Eva Yojimbo on Mar 27, 2018 6:25:22 GMT
After the initial 4 tosses, I would still be assuming that it was a fair coin, based on the fact that 6% isn't really all that remote in terms of odds and trick coins constitute much less than 6% of all coins. After about 10 tosses, the chances of getting all heads would become so vanishingly remote that I might start to think that it's a trick coin. I'm not calculating what the odds of that are, though. I think 10 tosses is a reasonable point to start thinking you might have a trick coin (.5^10 = 0.1%) , but the bolded part really gets to the heart of the issue.  If after 10 tosses you thought it was 50/50 you had a trick coin that would translate to you thinking the ratio of fair to trick coins is about 1000:1 (if my shaky algebra is right).
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