Consider independently rolling two fair dice, one red andthe other green. Let A be the event that the red die shows3 dots, B be the event that the green die shows 4 dots, andC be the event that the total number of dots showing onthe two dice is 7. Are these events pairwise independent(i.e., are A and B independent events, are A and C independent,and are B and C independent)? Are the threeevents mutually independent?

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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Consider independently rolling two fair dice, one red and
the other green. Let A be the event that the red die shows
3 dots, B be the event that the green die shows 4 dots, and
C be the event that the total number of dots showing on
the two dice is 7. Are these events pairwise independent
(i.e., are A and B independent events, are A and C independent,
and are B and C independent)? Are the three
events mutually independent?

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