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}

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax