Part (a): Event A is “the total is 10” (i.e., the sum of the results of the two die rolls is 10). (i) Is event A independent of the event “at least one of the die rolls resulted in a 5”? Part (b): Event B is “the total is 8.” (i) Is event B independent of getting “doubles” (i.e., both dice resulting in the same number)? (ii) Given that the total was 8, what is the probability that at least one of the die rolls resulted in a 3?
Part (a): Event A is “the total is 10” (i.e., the sum of the results of the two die rolls is 10). (i) Is event A independent of the event “at least one of the die rolls resulted in a 5”? Part (b): Event B is “the total is 8.” (i) Is event B independent of getting “doubles” (i.e., both dice resulting in the same number)? (ii) Given that the total was 8, what is the probability that at least one of the die rolls resulted in a 3?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
roll two five-sided dice. The sides of each die are numbered from 1 to 5. The dice are
“fair” (all sides are equally likely), and the two die rolls are independent.
Part (a):
(i) Is event A independent of the event “at least one of the die rolls resulted in a 5”?
Part (b): Event B is “the total is 8.”
(i) Is event B independent of getting “doubles” (i.e., both dice resulting in the same
number)?
(ii) Given that the total was 8, what is the probability that at least one of the die rolls
resulted in a 3?
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