playBunny: You are right of course. It does not make it easier to win, if you cannot predict the 'bad' rolls. However, if the randomness is not good, it slowly makes a different game out of Backgammon - for example, if there are less doubles, or incorrectly often two doubles in a row, you can adjust your strategy to take advantage of it. It is still a fair game, but it is not 'standard' Backgammon anymore.

However, I found a high chance of reproducing your opponent's roll by clicking in specific sequences. So when the game comes up, and he had a 5-5, and I want one too, I do that sequence of clicks, and have a higher-than-1/36 chance to get it too (it does not work all the time, but maybe 1:3; still, pretty useful feature); whereas if he has 1-2, I will not do that typically.