Hi all,
I do not want to highjack this thread, but in the interest of answering the secondary question asked by the OP, here goes.
Assuming the dice referred to are precision dice (i.e. in good condition-not chipped, worn, etc.), they should be as balanced as any other casino or professional backgammon dice. Casino dice routinely have monograms applied to one or more faces of a die. This ultra-thin foil is applied using a hot-stamp process. The design is
not engraved. The second point is that the epoxy used for the pips is the same density as the celloluse acetate used to make the die. The abscence of a pip on one or more faces does not change the weight and/or balance of the die. Moreover, if foil designs altered the performance of a die in any measurable way, I am certain that casinos, as well as those playing for kidneys, would not use such a die. However, this is anything but the case. You can find about a little more about the manufacturing process on
Sitrep.
Finally, with regard to the "ace" appearing more frequently than one might expect, this is a psychological effect of the design. A player will imagine that it appears more often simply because the design catches the eye more than a face with only pips. Mark Pitcavage had similar doubts, and expressed them on his
blog.
I am not an expert in the production of precision dice. Nor am I a mathematician. However, there are a number of ways that one can test the balance of a precision die. If in doubt try one of the tests that you can find online. I think you would need to make a minimum of 600 rolls to establish some sort of pattern. Mark used one of these tests in his write up.
Now back to your regular programming.
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