Consider the experiment where two fair six-sided dice are rolled and their face values recorded. a) Find the sample space.           Given the following vents:           A = (3, 5)           B = a 4 is rolled on the first die           C = a 5 is rolled on the second die           D = the sum of the dice is 7            E = (7,4) a) Find the following: i. B ∩ D and (B ∪ D) ∪ (A ∩ C)c ii. A ∩ D and (A ∪ D) c ∩ B

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider the experiment where two fair six-sided dice are rolled and their face values recorded.
a) Find the sample space.
          Given the following vents:

          A = (3, 5)
          B = a 4 is rolled on the first die
          C = a 5 is rolled on the second die
          D = the sum of the dice is 7
           E = (7,4)

a) Find the following:
i. B ∩ D and (B ∪ D) ∪ (A ∩ C)c

ii. A ∩ D and (A ∪ D) c ∩ B

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