Paige Sprague
NRM 3308
Spring 2009
Homework Assignment
You have a pair of diceone 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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Paige Sprague
5.
Are events A and B independent, or disjoint, or neither?
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Staff
 Probability theory, Equals sign, Dice, Paige Sprague

Click to edit the document details