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|
|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)|
|12||5||__________||__________||Lose||Craps, box cars|
¹ After the first roll, a roll of a seven is a losing roll.