Dice are designed with six faces, each face showing one to six spots, arranged in such a way that opposing sides spots will add to seven. Assuming fairly weighted face surfaces, each of the six faces have an equally likely chance (1/6) to show on top at outcome. Since two dice are used to play craps, summed dice outcomes can range between 2 and 12. The table of 36 shows the 36 unique ways top dice outcomes read. It shows that the 2 and the 12 can be made only ONE way, the 3 and 11 TWO ways, the 4 and 10 THREE ways, the 5 and 9 FOUR ways, the 6 and 8 FIVE ways, and the seven, the only number without a sister, SIX ways. There will be variability with outcome results. The ONLY thing that is KNOWN about an outcome result BEFORE it occurs is that it will be a number between 2 and 12. The table of 36 shows us what to EXPECT, based on probability. Probability does NOT tell us that these expectations are absolute. Rather, it tells us that seven is the most likely result, and 2 and 12 are least likely, and that the numbers SHOULD appear as predicted. Shooters will perform differently when shooting. The same shooter will sometimes perform brilliantly, and other times shoot terribly. Different shooters perform differently because of variance associated with a random process. The same shooter will perform well one time and poorly another time for the same reason. Math can be used to rate any shooters performance. If results for a particular outcome are better than expected from probability, we have a shooter showing a mathematical advantage.-----> Note that this is NOT impossible, it can and likely does happen. However, and this is where the typical DI gets off track, this advantage applies ONLY to the specific wager in question, AND this "mathematical advantage" is subject to change with the input of additional results.