Paige Sprague
NRM 3308
Spring 2009
Homework Assignment
You have a pair of dice---one is red and the other is green.
As you roll the pair of dice
you will denote the outcomes by (red, green) such as (5,2) where you had a five on the
red die and a 2 on the green die.
1.
List the sample space of the 36 possible outcomes for the two dice.
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
2.
Let A be the event that you roll doubles (that is you have the same number on each
of the two die on a given roll).
List the outcomes in A and find its probability.
(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
= 6/36= 1/6=
.17
3.
Let B be the event that the sum on the pair of dice is equal to 7.
Find P(B).
(6,1),(1,6),(5,2),(2,5),(4,3),(3,4)= 6/36=1/6=
.17
4.
Find the probability of:
A and B= .17x.17=
.03
A or B= .17+.17=
.34
B given A= (0)/(.17)=
0