Three distinguishable dice are rolled.  What is the probability of getting a sum of the upturned faces is even? Are the events of getting an even sum of upturned faces and getting exactly two odd upturned faces independent? Justify. What is the probability that the sum of the upturned faces is even given that there are exactly two odd upturned faces?

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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Three distinguishable dice are rolled. 

  1. What is the probability of getting a sum of the upturned faces is even?
  2. Are the events of getting an even sum of upturned faces and getting exactly two odd upturned faces independent? Justify.
  3. What is the probability that the sum of the upturned faces is even given that there are exactly two odd upturned faces? 
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