Two fair dice are tossed, one red and one green. Let A be the event that the sum of the two dice is a 7. Let B be the event that the number on the green die is one more than the number on the red. Let C be the event that the number on the red die is 2. (i) Are A & B disjoint? (ii) Are A & B independent? (iii) Are A & C disjoint? (iv) Are A & C independent? (v) Are B & C disjoint? (vi) Are B & C independent?  justify each

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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Two fair dice are tossed, one red and one green. Let A be the event that the sum of the two dice is a 7. Let B be the event that the number on the green die is one more than the number on the red. Let C be the event that the number on the red die is 2. (i) Are A & B disjoint? (ii) Are A & B independent? (iii) Are A & C disjoint? (iv) Are A & C independent? (v) Are B & C disjoint? (vi) Are B & C independent? 

justify each 

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