on the 2 dice is "6". Are A and B independent? Let C be the event that the sum of the spots on the 2 dice is "7". Are A and C independent?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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P3

Imagine rolling green die and a red die. If we
denote the outcome as an ordered pair (x,y)
where x = outcome of the green die and y =
outcome of the red die, then there are 36'
possible outcomes in the sample space 2.
Let A = event that the green die shows a "4".
Let B be the event that the sum of the spots
on the 2 dice is "6". Are A and B independent?
Let C be the event that the sum of the spots
on the 2 dice is "7". Are A and C independent?
Transcribed Image Text:Imagine rolling green die and a red die. If we denote the outcome as an ordered pair (x,y) where x = outcome of the green die and y = outcome of the red die, then there are 36' possible outcomes in the sample space 2. Let A = event that the green die shows a "4". Let B be the event that the sum of the spots on the 2 dice is "6". Are A and B independent? Let C be the event that the sum of the spots on the 2 dice is "7". Are A and C independent?
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