Science:Math Exam Resources/Courses/MATH103/April 2012/Question 02 (e)/Statement

Short answer question. Show in detail how you arrive at your answer (work will be considered for this problem).

In (a simplified version of) the dice game Pass the Pigs two model pigs serve as dice. Each model pig can either land on the side (with probability p(S) = 4/8), on the feet (with probability p(F) = 3/8), or on the snout (with probability p(N) = 1/8). In each turn both model pigs are rolled. The scoring is as follows:

	pig 1 side	pig 1 feet	pig 1 snout
pig 2 side	0	1	5
pig 2 feet	1	3	7
pig 2 snout	5	7	10

Find the average score per turn. You can leave your answer unsimplified as a sum of fractions.