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MS 150 Quiz Five Section 6.1 • Name:

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.

Two six-sided dice
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:	__________	__________	__________

Fill in the table above. Calculate the sums row and relative frequency column.
_______________ What is the sample size (the total number of tosses)?
_______________ Based on my data, what is the probability of rolling an 8?
_______________ Use the x*P(x) column to calculate the mean roll. This is also sometimes refered to as the "expected outcome."
Toughie: _______________ What are the odds of rolling "craps" (losing) on the first roll?

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