I have written some software that calculates blackjack EVs (via Monte Carlo simulation) to within 0.01 after 100k iterations about 97% of the time.

Some people on this forum doubt that this level of accuracy is possible.

So, if there's anybody on the forum who knows about statistics and probability, can you please help answer a question--what percentage of the time would you expect such a simulation to be accurate to within 0.01, mathematically speaking?

Thanks for any insights!