I'll agree with if you show me your betting simulations and state which dice game algorithm you used.
All I can tell you is I have made a dice simulator for JD and PD and if you group the results by 10s you do reach a point where you approach equal distribution of numbers.
Using this method I can within a good % know that a bet will win in a worst case situation.
If you would run a simulation of bets/rolls (same server seed and client seed) the outcome over many bets should roughly show equal distribution of numbers. It might happen in 1000 bets, 10000 bets, or 100000 bets, but it will happen. But knowing this will happen allows you to change the way you bet in your advantage.
Now if you say there is not equal distribution of numbers, that's even better. You can determine where most of the roll/bets hit and play that to your advantage.
Either way, not looking to the past results to determine the way you play dice is why most call it a luck game.
Which is called gambler's fallacy.

The funny thing is you are the first guy I have seen who have that fallacy for select (may be only for pseudo random) cases but does not have it for the rest.
LOL, your evening out strategy doesn't work. Pseudo random is kind of pre-determined random (in this case) numbers generated using a certain method. It is not predictable and does not even out (esp. in finite rolls).
That's what I was showing. It is unlikely to get 10 heads in a row. But if you do, the next one is still 50/50, AND you will get to 50/50 over the long term without changing the odds.
Yeah I was mostly agreeing with you, but sort of. I was saying the dice don't know that they rolled 10 heads in a row, so even after the 10 rolls it won't start to go more toward 50/50, from that point on it would be closer to 50/50, but after I suppose 100000 rolls if you had 10 more heads than tails it still would be close to 50/50.
To clarify, if you make infinite rolls (10^100000000000000000000000000000000000000000000000000000000000000000000000000...)
the heads and tails
tend to even out. But when you take 10 or a trillion rolls, there is no such concept.
Yeah, it is mostly correct, but if it was to even out, as the rolls go by, the tails would have more odds than heads which is incorrect. So Phildo is not exactly wrong, but in this particular part, leex is 100% correct.

tl'dr There is no such thing called evening out in practical cases/finite rolls.