Wow ok so I guess it did come to this. Forgive me, I am not intending to be rude, but you’re the 5th person to tell me this about sample size: it is NOT the sample size. I actually created a Matlab script that simulates the basic principles of an RNG where the system will choose a discrete random value and verify whether its below the threshold value. If it is, then the action is true, if it isnt, then the action is false. I simulated the sample size and trials to what I mentioned, and it was very and i mean VERY rare to get above 20% (whereas the values I got from the ‘physical’ test were on average 25%). The average for this test run was 15.8 (plus or minus ~ 0.5)%. I created the script in such a way that it includes the number of trials so 1 run of the script simulates an independent run simulating what I did in the game (of 10 trials with sample size 50). I ran the simulation about 20 times and only once did I get 20% but never above. Running the script multiple times reflects a total sample size and trial number that is WAY over what i would ever do myself.
What I am trying to say is that the sample size and trial number IS big enough to zero in enough into the percent displayed on the info card. It wont be the exact percent value, but definitely close enough to conclude the value concurs.
BTW I had to use a trial size of 2 to get over 20% (and that was only about 2 out of another 20 runs).