But if you start throwing the dice and you keep all the sixes you get along the way, Yahtzee-style, we expect you'll have 20 sixes in about 25-30 throws.But this scenario has the implicit assumption of a deterministic outcome (all 6s), and also that after each throw, the outcome of chance is being analyzed according to a set of rules, which are being applied such that keeping/discarding dice is done to produce a deterministic outcome.
Even if you deny that there is traditional "intelligence" in the process such as a dice thrower, the scenario still fails to answer why there is even a set of rules for evaluating these independent dice throws in the first place, where these rules came from, and why those rules seemingly guide events of completely random chance in a pre-determined direction at all (all 6s).