Two dice are rolled in a random experiment. (a) What is the probability that at most one is a six? (b) If the two faces are different, what is the probability that at most one is a six?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 12CT
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1. Two dice are rolled in a random experiment.
(a) What is the probability that at most one is a six?
(b) If the two faces are different, what is the probability that at most one is a six?
Transcribed Image Text:1. Two dice are rolled in a random experiment. (a) What is the probability that at most one is a six? (b) If the two faces are different, what is the probability that at most one is a six?
Expert Solution
Step 1

We have given, two dies are rolled in the random experiment.

The sample space is written as,

Ω=1,1, 1,2, 1,3, 1,4, 1,5, 1,6, 2,1, 2,2, 2,3, 2,4, 2,5, 2,6, 3,1, 3,2, 3,3, 3,4, 3,5, 3,6, 4,1, 4,2, 4,3, 4,4, 4,5, 4,6, 5,1, 5,2, 5,3, 5,4, 5,5, 5,6, 6,1, 6,2, 6,3, 6,4, 6,5, 6,6 

The total number of possible cases are nΩ=36

 

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