Thank you for your article.
Two questions from a math-challenged reader :

1)To say that a character has a 75% chance of succeeding in a certain action (regardless of the dice system) means that if that character attempted that action a very large number of times, we would find that he or she would statistically succeed in about 75% of the observed cases (law of large numbers), but how is this relevant to a TTRPG game ?

A character only attempts the same action a very limited number of times during the game, the number of throws is very low, besides if the character’s survival depends on whether or not she succeeds on the very next throw, how is it relevant to know that she has 75% cases in her favor on a very large number of attempts of this type of action ? Since probability calculations never tell me anything about the very next throw, but rather about a large set of throws (a set that is never actually considered in the course of a game and is somehow “contradictory” to the sequence narrative flow of a TTRPG ).

2) Is there no difference between 3d6 and 1d20 in the rate at which the probabilities approximate the observed statistics, again for a large number of throws?

For an action with a 75% success rate, is the very large number of throws required to observe that statistically about 75% of the cases obtained were indeed favorable (modulo a margin of error to be defined around those 75%) the same with 3d6 or 1d20?
Do the statistics stabilize at the same speed around the probabilistic projections?

Thank you for your clarifications.