Gambler's fallacy is believing that P(X_n+1 | sum of X_1, X_2, X_3, ... X_n /n < some "small" number (i.e. unlucky)) > P(X)
What ijuakos is saying that P(sum of X_1, ... X_n / n = 0) is very very low, in fact it is 0.0000265614.
If you have a one-sided hypothesis test where H_0: p = 0.1 and H_A: p < 0.1, you will unequivocally reject the null (unless you're working in particle physics).
https://www.wolframalpha.com/input?i...+and+p+%3D+0.1
Please don't talk about statistics as a layman, thank you, it's incredibly embarrassing.
Although what ijuakos is saying is largely irrelevant to the conversation, it is really sad to see the failure of American education in action when people spout their mouth about "gambler's fallacy" or "correlation =/= causation" without knowing elementary probability theory that they teach in middle school in actual good countries.
Have you ever read any paper, research, ... anything at all? Do you realize every paper's result is statistically possible to be false? What is this pedantic nonsense
oh my god please stop i'm actually cringing so hard right now, (1): in that example there are actually 100 samples; (2): a high level of statistical significance can be achieved with low N, especially when the data is extreme compared to H_0.
please just look at how it's supposed to be done:
https://www.cs.cmu.edu/~bhiksha/cour...Bernoulli.html
did you realize that you can be 98% confident with only 9 samples/trials if the data is that extreme? shocker!!!
literally please stop trying to argue with me until you get a phd in stats, you're lowering the ambient iq
FYI: I'm not saying that the RNG is wrong or biased. I'm just saying if such an example existed then there's a high chance something's off.
And if you continue to repeat the nonsense about "statistically possible" I want you to forget about literally everything you learned in chemistry, biology, economics, and really anything other than particle physics (since they go for 5 sigma) because almost all of them report results with p-values above 0.0000266