TC: I also had the impression that equality of first and second roll occurs much too often.

(For this topic, see the posts starting 3. Nov. 2009)

To check this, I downloaded the MAT files of all Backgammon games I have played so far, and wrote a programm which counts the games where the first rolls of both players are equal. Result:

206 games total
79 of them have equal first and second rolls (38.3 %)

This is 6.9 times the expected value (5.556 %).