On a quiet Wednesday evening at home I tossed two dice 216 times. I added the die face values and tabulated my results. The smallest sum of two was the result of "snake eyes," a pair of ones. The largest sum of twelve was the result of "box cars," a pair of sixes. In the game of Craps gamblers bet based on a complex series of rules. The results for the first roll are shown in the second to last column, a term for that roll is in the last column. What happens for subsequent rolls after a first roll of 4, 5, 6, 8, 9, and 10 is more complicated.
Roll (Bins x) | Frequency f | RF p(x) | x*p(x) | Result | Term |
---|---|---|---|---|---|
2 | 6 | __________ | __________ | Lose | Craps, snake eyes |
3 | 12 | __________ | __________ | Lose | Craps, ace deuce |
4 | 16 | __________ | __________ | Point | Little Joe (2-2), ace-trey (1-3) |
5 | 25 | __________ | __________ | Point | Thirty-two juice roll |
6 | 33 | __________ | __________ | Point | Big Red |
7 | 32 | __________ | __________ | Win | Seven's a bruiser, the front line is a loser¹ |
8 | 34 | __________ | __________ | Point | A square pair (4-4) |
9 | 22 | __________ | __________ | Point | Ocean liner niner |
10 | 19 | __________ | __________ | Point | Puppy paws (5-5) |
11 | 12 | __________ | __________ | Win | Yo leven |
12 | 5 | __________ | __________ | Lose | Craps, box cars |
Sums: | __________ | __________ | __________ |
¹ After the first roll, a roll of a seven is a losing roll.
Sources:
http://faculty.weber.edu/brague/CS1220/Assignments/CrapsAsgnt2Sp05.htm
http://web.stat.ucla.edu/~vlew/stat11/lectures/sp041111.pdf