Here's one for the conspiracy theorists. Random Number generators can be based on a seed, in which the order of the dice rolls is based on one number, such as number of milliseconds before midnight. Now, if you are so inclined, and play in a league in which dice roll results are published, examine all your dice rolls for games that begin at a particular time, such as 10:45 (EST). Then, examine all your dice rolls for games that begin at a different time, such as 11:20 (EST), etcetera. Look for a pattern. For games that begin at 10:45, is the first roll always 5-10? If you see a pattern and field multiple teams in multiple leagues you might win more than someone who sees a pattern and fields only one team at any given time. If you don't see a pattern, then, forget this post was ever written.
Here's another one for the conspiracy theorists. Perhaps, the creator of the software has a mischievous sense of humor, and, as Freeman suggests, puts in code to give a slight bias to a particular group of people, similar to a slight bias in favor of the home team. Perhaps, nobody is aware other than the software creator, since nobody else may be familiar with the code.
So, the argument is basically about the integrity of the service provider, rather, than, whether anyone has the smarts to do something that shouldn't be done.
Count me as one who believes there is no unfair bias that gives a group of people an advantage. There is insufficient evidence.
I would say, however, after reviewing the top 200 managers list, I am impressed with that one manager who has won the finals in 29% of teams entered. I'm also impressed by the 32 managers who have made the playoffs more than 50% of the time. And I'm impressed by the manager who has made the playoffs 69% of the time.
Note: I see that you can sort the list different ways. I now see the manager who has won championships 42% of the time he has joined a league. Very impressive.