alt Hacker News> every single other result is even less likely.
But the summed probability of the “not too far away results” is much higher, i.e. P([93, 107]\{100}) > P([100]).
So if you only shoot 100/100 with your coin, that's definitely weird.
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fainpul • today at 4:38 PM
> So if you only shoot 100/100 with your coin, that's definitely weird.
Not if you only try once.
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Okay, but it doesn't make sense to arbitrarily group together some results and compare the probability of getting any 1 result in that group to getting 1 particular result outside of that group.
You could just as easily say "you should be suspicious if you flip a coin 200 times and get exactly 93 heads, because it's far more likely to get between 99 and 187 heads."