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Craps: A Game Of Chance

I am at a casino in California, and I am thinking about playing a game or two of craps. This is my first time ever playing craps and for the first three or four rolls I sit down and watch. Finally I feel like I am ready to play. So I stepped up and placed my first bet. Winner is announced. Shocked I gathered my winnings and kept playing. After winning a few more times I was given the opportunity to be the shooter. By now I have figured out that if I roll a seven or eleven we'll automatically win. However if I roll a 2, 3 or twelve we all lose automatically. So I rolled. To my astonishment I roll a ten. Well I had never seen this and don't know what to do. A nice gentleman explains to me that now I have to roll a ten again before rolling 7, 2, 3 or twelve. Nervous I roll. What are the odds of rolling the ten and not rule and a seven, two, three, or twelve?
In the following few pages I will analyze statistically the chance of winning or losing on your first roll. This game is played with two dice each of which have six sides this means that there are 36 possible combinations that can occur when a rolling these two dice. Also because of the nature of this game the odds of rolling a certain number are reset at the beginning of each roll. Therefore before even beginning to analyze this game of chance I already know that the chance of rolling at ten on the first roll is the same as rolling a ten on every role thereafter. This little bit of knowledge will make all of my calculations tremendously more simple. The first time you ever get to a craps table, make a small bet on the pass line. The pass line is the strip that runs all around the craps table's layout.
This small bet that you just made on the pass line is called a come-bet. That's because the first throw of the dice is a come-out roll. At this point, you're hoping to roll a 7 or an 11 if you're the shooter, or hope that the person who is throwing the dice rolls a 7 or an 11. On the come-out roll, a 7 or...