Download Practice Quiz - Probability

Practice Quiz - Probability
Name______________________________
Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest
terms.
1) Use the spinner below to answer the question. Assume that it is equally probable
1)
that the pointer will land on any one of the five numbered spaces. If the pointer lands
on a borderline, spin again.
Find the probability that the arrow will land on 4 or 3.
3
2
A)
B) 1
C)
4
5
D) 4
You are dealt one card from a 52-card deck. Find the probability that you are not dealt:
2) a club.
3
4
2
1
A)
B)
C)
D)
4
13
5
4
2)
Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the
probability as a decimal, rounded to the nearest thousandth, if necessary.
3) The table below represents a random sample of the number of deaths per 100 cases for a certain
3)
illness over time. If a person infected with this illness is randomly selected from all infected people,
find the probability that the person lives 3-4 years after diagnosis.
Years after Diagnosis Number deaths
1-2
15
3-4
35
5-6
16
7-8
9
9-10
6
11-12
4
13-14
2
15+
13
A)
35
; 0.538
65
B)
1
; 0.029
35
C)
7
; 0.058
120
D)
35
; 0.35
100
The table shows the number of employed and unemployed workers in the U.S., in thousands, in 2000.
Male
Female
Employed
67,761
58,655
Unemployed
2433
2285
Assume that one person will be randomly selected from the group described in the table.
4) Find the probability of selecting a person who is employed, given that the person is male.
67,761
2433
2433
2285
A)
B)
C)
D)
70,194
67,761
70,194
70,194
Math Analysis
4)
Practice Quiz - Probability
Solve the problem involving probabilities with independent events.
5) If you toss a fair coin 7 times, what is the probability of getting all heads?
1
1
1
A)
B)
C)
256
64
2
1
D)
128
Solve the problem that involves probabilities with events that are not mutually exclusive.
6) In a class of 50 students, 33 are Democrats, 13 are business majors, and 3 of the business majors are
Democrats. If one student is randomly selected from the class, find the probability of choosing a
Democrat or a business major.
23
1
43
49
A)
B)
C)
D)
25
5
50
50
5)
6)
7) Consider a political discussion group consisting of 8 Democrats, 5 Republicans, and 6
Independents. Suppose that two group members are randomly selected, in succession, to attend a
political convention. Find the probability of selecting an Independent and then a Democrat.
1
8
48
4
A)
B)
C)
D)
57
57
361
171
7)
8) An ice chest contains 6 cans of apple juice, 4 cans of grape juice, 8 cans of orange juice, and 2 cans
of pineapple juice. Suppose that you reach into the container and randomly select three cans in
succession. Find the probability of selecting no grape juice.
512
21
28
1
A)
B)
C)
D)
855
50
57
285
8)
Math Analysis