Would a game of infinite dice each wjth infinite sides produce a bell curve when outcomes are plotted against time?
I assume that there still remains a higher probability of outcomes from the middle of the infinite set of possibilities leading to a normal curve
An "infinite dice" as you say can be easily modelled by the "rand" (random) function (results between 0 and 1) you have even on pocket computers. No need to have a "bump" in the center. The bump will appear when you add $n$ times the results, and it will look gaussian, even when $n=5$, as in the simulation below (on a hundred thousand throws of 5 "dices") where the results are dispersed between $0$ and $5$.