if you can tell me any point that's wrong, It would help a bit more than that, I tried to do what I think was correct, imo the only place where I might have made a calc fault is in the last part (like the 50% on second try and everything, because that's the only portion i forgot how to do atm, the rest is for me kinda logical, if you see something that tilts the chance making it way to high (like tickrate or smth making it harder) tell me, i can't really find anything to change. I can't do anything to make my calculations more correct if I don't know what variable is wrong.
The chance is really low, I simulated about 1million trials (of 100 rolls from 4-7), and it is about 5 had 600 or higher as the total. So about 1 in 200,000 chance.
Another option is to assume normality (Gaussian distribution):
X = {4,5,6,7} with 25% chance each -> Mean = 5.5, Variance = 1.25
Call Y = X1 + X2 + ... + X100 (aka, 100 independent rolls of X)
Y mean = 550 (100 x 5.5), Y variance = 125 (100 x 1.25)
For a normal distribution to be > 600, with mean= 550, variance = 125, this has a chance of 0.999996128 which is a 1 in 258,257 chance.
So basically if you were able to try this every 20 seconds, you will be waiting for about a month or two to beat it with just air dice.
alr thank you for a good answer, i can now accept your reply as the truth, as ive not gotten that far in mathematics, i love it but yeah, or im going to a wierd language class, or im going to an art class, nothing with numbers atm
thank you for your information, I now know a bit more of math as well. have a good rest of your day
Ps the only reason i even declined the other person was because they didnt provide any proof at all