First off-Random.org doesnt use a pregenerated number sequence. If you go to the site
-link- it will explain to you how the numbers come up.
Second, the dice here are made to be random. If you cheat when you roll real dice, well then none of us really care. This isnt risk. Its CC. You cant cheat. Live with it.
Third, you will lose the majority of 3 on 1. I dont feel like calculating the exact math but since defenders win ties the odds are against you. And even if the dice are making fun of you

it doesnt really matter. It makes no difference if you lose 1,1,1 to 6,6 or 1,1,1 to 1,1. You still lose 2 armies.
Fourth-If you advanced every time you attacked with the greated army, that would take the fun out of the game. People would be able to develop full proof strategies that would never fail. THAT, would take the fun out of the game. Its called RISK for a reason. You are supposed to take RISKS.
Finnally-even if the dice are loaded, they are loaded for everyone. Its equally against you as it is for your opponet. Why would Lack cheat you? What does he gain by making your dice suck?