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.
But the local probability always converge to the basic probability.
I just rolled 20000000 times with the virtual coin and turned out: 10000630 heads and 9999370 tails, which is very close to eachother.
Maximum consecutive is 29
[IMG.]http://i62.tinypic.com/35k34nc.png[/img]
Of course. That is expected. But still the difference is ~1250. Try making it 0-10.
In dice by evening out I mean tending towards an equal number of 0.0000, 0.0001, 0.0002 to 99.9999