In this question, imagine a setting where two dice are about to be rolled. Assume the dice are standard, 6-sided dice, and are not weighted in way, so that each number is equally likely to be rolled. Consider the following 3 events: A is the event in which the sum of the numbers on the dice is ≤ 5. B is the event in which the sum of the numbers on the dice is ≥ 8. C is the event in which at least one of the dice is a 6. Use set notation to describe the set, B∪C Calculate the probability of the set B∪C

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 13CT: 13. In a group of four students, what is the probability that at least two have the same...
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In this question, imagine a setting where two dice are about to be rolled. Assume the dice are standard, 6-sided dice, and are not weighted in way, so that each number is equally likely to be rolled. Consider the following 3 events:

  • A is the event in which the sum of the numbers on the dice is ≤ 5.
  • B is the event in which the sum of the numbers on the dice is ≥ 8.
  • C is the event in which at least one of the dice is a 6.
  1. Use set notation to describe the set, B∪C
  2. Calculate the probability of the set B∪C 

 

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