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}
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}
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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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
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