That's what he means by "you seem to have a hard time understanding it". You're communicating a completely different message, because you can't differentiate "probability" from "error".
And it's really not that hard: You roll a pair of dice, it's probabilistic. When they stop moving, it's deterministic. The system has an expectation value (a "mean") of 7. Rolls subsequent to very low or very high rolls (2 or 3, or 11 or 12) will tend to regress toward the mean not because dice are error-prone or inaccurate - they're not, they're very accurate and not the least bit subject to error. It's because there's only 3 ways to roll a 2 or 3, and 33 other possibilities the next time you roll. Regression toward the mean happens because your current measure is deterministic, but your future measure is probabilistic.
That's probability, not error. It's really !@#$ing simple. Like I said, I can teach that to a three year old. Why the !@#$ do you have so much trouble with it?