The following question asks you to determine probabilities of different outcomes of rolling two standard six-sided dice simultaneously. a) How many outcomes of the dice roll are there in total?  b) If E: The sum of the dice is even and O: The sum of the dice is odd, what is Pr(E Ú O)? Explain your answer.  c) If T: The sum of the dice is two, what is Pr(¬ T)? Explain your answer.

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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1) The following question asks you to determine probabilities of different outcomes of
rolling two standard six-sided dice simultaneously.

a) How many outcomes of the dice roll are there in total? 

b) If E: The sum of the dice is even and O: The sum of the dice is odd, what is
Pr(E Ú O)? Explain your answer. 

c) If T: The sum of the dice is two, what is Pr(¬ T)? Explain your answer. 

d) If N: The sum of the dice is nine and T: The sum of the dice is two, what is
Pr(N Ú T)? Explain your answer.

e) What is the probability that both dice roll a four or higher? Explain your
reasoning.

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