A fair six-sided die is being rolled twice. Which of the following samples spaces is equiprobable? S₁ = {both rolls are even, both rolls are odd, only the first roll is odd, only the first roll is even} S₂ = {the product of the rolls is odd, the product of the rolls is even} S3 = {the sum of the rolls is less than 5, the sum of the rolls is greater than 4 and less than 7, the sum of the rolls is equal to 7, the sum of the rolls is greater than 7 and less than 10, the sum of the rolls O A. only S₁ is an equiprobable sample space OB. S₁ and S3 are the only equiprobable sample spaces OC. only S₂ is an equiprobable sample space O D. all of them are equiprobable sample spaces O E. only S3 is an equiprobable sample space greater than 9}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
icon
Related questions
Question
A fair six-sided die is being rolled twice. Which of the following samples spaces is equiprobable?
S₁ = {both rolls are even, both rolls are odd, only the first roll is odd, only the first roll is even}
S₂ = {the product of the rolls is odd, the product of the rolls is even}
S3 = {the sum of the rolls is less than 5, the sum of the rolls is greater than 4 and less than 7, the sum of the rolls is equal to 7, the sum of the rolls is greater than 7 and less than 10, the sum of the rolls is greater than 9}
A. only S₁ is an equiprobable sample space
B. S₁ and S3 are the only equiprobable sample spaces
C. only S₂ is an equiprobable sample space
D. all of them are equiprobable sample spaces
E. only S3 is an equiprobable sample space
Transcribed Image Text:A fair six-sided die is being rolled twice. Which of the following samples spaces is equiprobable? S₁ = {both rolls are even, both rolls are odd, only the first roll is odd, only the first roll is even} S₂ = {the product of the rolls is odd, the product of the rolls is even} S3 = {the sum of the rolls is less than 5, the sum of the rolls is greater than 4 and less than 7, the sum of the rolls is equal to 7, the sum of the rolls is greater than 7 and less than 10, the sum of the rolls is greater than 9} A. only S₁ is an equiprobable sample space B. S₁ and S3 are the only equiprobable sample spaces C. only S₂ is an equiprobable sample space D. all of them are equiprobable sample spaces E. only S3 is an equiprobable sample space
Expert Solution
steps

Step by step

Solved in 5 steps with 19 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax