Attached is a nice graph showing probability against result.
The X axis is the result you expect to get in the dice, and the Y axis is the probability of getting that result.
Because there are no numbers, I'll just let you know that the first line represents a chance of 1/6, and applies to results 1-5, the 0 probability is for 6, the next line is 1/36 and applies to 7-11 etc.
This should help you see exactly how random Dom is
(The results are assuming the roll is the same as in Dom2, and shows results for 1-36)
(If you want to know what I used to make the graph feel free to ask
)