7 kyu
Statistics 101: Coin Sampling
187 of 240Voile
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Fundamentals
Mathematics
Statistics
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Python translation
PHP Translation Kumited - please accept :D
Done!
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This is the only way. The more you flip, the more is the probability you'll pass the tests; and with true random numbers there would still be some chance of failure, even if so small that the end of the world would be more probable.
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Many thanks for your response @Voile, just wanted to clarify that this was indeed the aim of this Kata :D
I don't think it's possible to find the true probability up to any value of error, it's only possible to find it up to a given probability of the found value having some absolute error. A coin with any p, 0 < p < 1, may turn the same side any finite number of times in a row.
Indeed, in statistics we can only talk about confidence intervals. I originally chose an absolute error of 0.1% and found out that it requires too many trials, so it's now at 1%.
Extended reading: https://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval