Determine whether the even When a balanced die is rolled twice, 36 equally lik outcomes are possible. Let A = event the sum of the two rolls is 8 B = event the first roll comes up 3. Are A and B independent events? O No Yes Question 4
Determine whether the even When a balanced die is rolled twice, 36 equally lik outcomes are possible. Let A = event the sum of the two rolls is 8 B = event the first roll comes up 3. Are A and B independent events? O No Yes Question 4
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...
Related questions
Question
Transcribed Image Text:Determine whether the events are independent.
When a balanced die is rolled twice, 36 equally likely
outcomes are possible. Let
A = event the sum of the two rolls is 8
B = event the first roll comes up 3.
Are A and B independent events?
O No
Yes
Question 4
Expert Solution
Step 1
Given that
Two six sided dice are roll.
Sample space=S={(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)}
So event A and event B are independent because P(A and B)=P(A)×P(B).
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON