I've heard enough complaining about the dice, so here's what I did:
I replaced the 50,000 set of dice rolls with a new set of 500,000 dice rolls. The dice are still true random numbers from random.org.
As explained before, each time you roll the dice, the engine reads a line from the file and deletes it. When there are none left, it re-loads the file and starts again. This new set should last for 10 days before being recycled at the current rate of play.
But that's not all... I've published the dice file
for everyone to inspect! I invite all you statisticians out there to analyze the dice ad nauseum.
Don't worry, you can't really use this dice file to cheat. Even if someone wrote a program that read the file to predict rolls, it would be a lot of work and would not be too effective.