What kind of competition are you talking about? A canonical pseudorandom number generator like the WELL family can't be predicted based on the number of draws that you will see in any application that currently uses dice. Unless the settings are poorly chosen, a few hundred or a few thousand draws won't allow you to have any predictive power for the next roll. Further, a cryptographically secure pseudorandom number generator like Blum Blum Shub is resistant to pretty much any analytics for prediction.
Anyways it is a lot easier to test the randomness of software based pseudorandom number generators than it is to test dice, so whatever battery of tests you would have run on your die to test its fairness you can run on the generator and get the same level of confidence.
There are certainly some applications for real random numbers (mostly to seed pseudorandom generators to get the most bang for your buck from the necessarily limited supply of entropy that you can harvest), but it's not dice rolling based competitions.