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Experiments, Sample Spaces, and Events 3
A
B
C
Result
. . . .

Consider the experiment of tossing two dice. Let A be the event of obtaining sums less than 5; B, the event of obtaining a product of 8; and C, the event of obtaining two even numbers.

A {(1, 3), (1, 2), (1, 1), (2, 2), (2, 1), (3, 1)}
B {(2, 4), (4, 2)}
C {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}

Choose the sample points that are elements of each indicated operation. Note that certain items may have more than one answer.

1. AB
(1, 3)
(2, 4)
(3, 1)
(2, 6)
none of the choices
Answer: (1, 3), (2, 4), and (3, 1)
2. AC
(2, 5)
(6, 2)
(3, 1)
(4, 4)
none of the choices
Answer: (6, 2), (3, 1), and (4, 4)
3. AB
(3, 4)
(5, 2)
(4, 3)
(6, 2)
none of the choices
Answer: none of the choices; the intersection is an empty set.
4. AC
(2, 4)
(2, 2)
(3, 1)
(6, 2)
none of the choices
Answer: (2, 2)
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