Loading...
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. A∪B
(1, 3)
(2, 4)
(3, 1)
(2, 6)
none of the choices
Answer: (1, 3), (2, 4), and (3, 1)
2. A∪C
(2, 5)
(6, 2)
(3, 1)
(4, 4)
none of the choices
Answer: (6, 2), (3, 1), and (4, 4)
3. A∩B
(3, 4)
(5, 2)
(4, 3)
(6, 2)
none of the choices
Answer: none of the choices; the intersection is an empty set.
4. A∩C
(2, 4)
(2, 2)
(3, 1)
(6, 2)
none of the choices
Answer: (2, 2)
0
/ 4