Question 1
A pair of fair dice is tossed. Events
A and
B are defined as follows.
A: {The two numbers rolled are different}
B: {At least one of the numbers is greater than 2}
a.
Identify the sample points in the event
Ac.
b.
Identify the sample points in the event
Bc.
c.
Identify the sample points in the event
Ac ∪
Bc.
d.
Identify the sample points in the event
Ac ∩
Bc.
e.
Find
P(
Ac ∪
Bc).
f.
Find
P(
Ac ∩
Bc).
Question 2
A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic) and their year in college (freshman, sophomore, junior, or senior). The results are shown in the table below.
Which of the following events listed would be considered mutually exclusive events?
◦ The student is a junior and the student drives a domestic automobile
◦ The student is a freshman and the student drives a foreign automobile
◦ The student is a junior and the student is a freshman
◦ The student is a senior and the student drives a domestic automobile.
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