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Thanks for the info! I will continue to just grumble when I get nat 1s then lol
And of course, statistic abnormalities happen. You've got to roll the dice not just hundreds, not thousands, but millions of times to wrinkle out the statistic abnormalities.
It feels bad because most video games *do* weight the odds, in the player's favor. It is well documented that video game players by and large do not have a very good sense of probability, so they weigh the dice rolls in the player's favor to make them feel fair. This game very clearly does not.
The long and short of it is he proved beyond reasonable doubt that the RNG in this game is totally fair.
If, for example, the d20 die was completely biased and only gave 1s then you'd only need about 4 rolls! First you'd declare that now you start to collect data, then you'd roll 4 times, record 4 x 1, and you'd already have large enough sample size to conclude that the die is flawed beyond any reasonable doubt.
Statistics can be counter-intuitive but it can go both ways, as my example shows.
On the other hand, getting four 1s in a row on a d20 in, say, half a million rolls is not only likely, it's expected.
Like, that it happened when you were specifically recording it is a surprise, but I just can't imagine saying "yep, dice is broken, it only rolls 1s" without rolling it at least 10 times. And even that is statistically way too low a sample size but that's where I'd feel comfortable making the call.
Rolling four 1s in a row in a vacuum is extremely unlikely, to the point you should suspect something's up.
Rolling four 1s as part of a much larger (known) set of dice rolls is fine.
You cannot just assume that the dice has been rolled a bunch of times in the first scenario because you don't know, nor do you know the results. At the same time, past dice rolls do not influence the probability of the next dice rolls, so even if it has been rolled a million times without ever landing on 1, that doesn't somehow increase the probability of the next roll being a 1.
Agree with pkdragon, 1 in 160000 is very high chance. You definetly can roll more dice in 1 playthrough, so it should happen few times.
Also do you know what chances are to roll 4,15,17,6? Yes 1 in 160000. But that "feels" like right like randomly rolled. Right?
Sometimes you just have a string of bad luck. Playing D&D recently myself I got 3 1's in a row. So did another player I was playing with in the same session.
Honestly without the physical element of dice somehow being flawed or weighed slightly wrong I think digital dice should give closer to "True random" value.