1. S: the set of outcomes when two dice are rolled; E: those outcomes in which at most one die shows an even number, F: those outcomes in which the sum of the numbers is 7. Write the set of ourcomes in which both dice show an even number OR sum to seven. The sample space is below. 1 2 3 5 1 (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 (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)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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. S: the set of outcomes when two dice are rolled; E: those outcomes in which at most one die shows
an even number, F: those outcomes in which the sum of the numbers is 7. Write the set of ourcomes in
which both dice show an even number OR sum to seven. The sample space is below.
1
3
4
5.
(1,2) (1,3) (1,4)
(2,4) (2,5)
(1,1)
(1,5)
(1,6)
(2,1)
(2,2)
(2,3)
(2,6)
(3,1) (3,2) (3,3)
(4,1) (4,2)
(3,4)
(3,5)
(3,6)
4.
(4,3)
(4,4) (4,5)
(4,6)
5.
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
6
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
1.
2.
3.
Transcribed Image Text:1. S: the set of outcomes when two dice are rolled; E: those outcomes in which at most one die shows an even number, F: those outcomes in which the sum of the numbers is 7. Write the set of ourcomes in which both dice show an even number OR sum to seven. The sample space is below. 1 3 4 5. (1,2) (1,3) (1,4) (2,4) (2,5) (1,1) (1,5) (1,6) (2,1) (2,2) (2,3) (2,6) (3,1) (3,2) (3,3) (4,1) (4,2) (3,4) (3,5) (3,6) 4. (4,3) (4,4) (4,5) (4,6) 5. (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) 1. 2. 3.
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