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Prob & Stats Pretest Unit 1

Total questions: 49

Worksheet time: 4hrs 49mins

Name
Class
Date
1.
The Universal Set = { -4, 3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.
What is the complement of A?
a)
{-4, -3, -2, -1, 0, 1, 2, 3}
b)
{-3, -2, -1, 1, 2, 3}
c)
{-4, -3, -2, -1, 1, 2, 3, 4}
d)
{-4, -3, -2, -1, 1, 2, 3}
2.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

3.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
4.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

5.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

6.
What statement does the shaded region represent?
a)
A and B and C
b)
A or B and C
c)
B and C
d)
A or C
7.
From the above Venn diagram, what is the set S ∩ T?
a)
{casey, drew, jade, glen}
b)
{alex, casey, drew,hunter}
c)
{casey, drew}
d)
{drew, jade}
8.
From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."
a)
{casey, drew}
b)
{blair, francis, glen, jade}
c)
{blair, erin, francis, ira}
d)
{jade, glen, blair, erin, francis, ira}
9.

Given the following Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

What is n(D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

10.
A die is rolled once.  What is the probability of rolling a 5? Your answer should be a fraction in simplest form.
a)
1/6
b)
1/3
c)
2/5
d)
5/6
11.
A die is rolled once.  What is the probability of rolling an odd number? Your answer should be a fraction in simplest form.
a)
1/6
b)
1/2
c)
3/6
d)
2/5
12.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
13.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
14.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
15.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
16.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
17.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

18.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

19.

If you choose from the following M & M colors, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

1/4

b)

4/13

c)

8/25

d)

1/3

20.
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 
a)
17/26
b)
1/13
c)
5/13
d)
5/26
21.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
22.
Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 
a)
5/24
b)
11/30
c)
2/75
d)
7/60
23.
A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? 
a)
1/6
b)
7/17
c)
3/8
d)
13/25
24.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 
a)
9/16
b)
3/4
c)
9/144
d)
5/16
25.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
26.
The possible results of an experiment
a)
outcomes
b)
event
c)
experiment
d)
probability
27.

Flip a coin two times

a)

Independent

b)

Dependent

28.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
29.

What is the probability that a student plays on a sports team given they play an instrument?

a)

.7273

b)

.8

c)

.55

d)

.2222

30.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
31.
What is the probability that a student does not play on a sports team? 
a)
.5
b)
.45
c)
.55
32.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
33.
If I calculate the probability 3/10 as the answer to a question, what was the question?
a)
P(plays instruments given does not play sports)
b)
P(plays instruments)
c)
P(does not play sports given plays instruments)
d)
P(does not play sports AND plays instruments)
34.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
35.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
36.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
37.
How many ways can you listen to 3 songs from a CD that has 12 selections?
a)
1320
b)
33
c)
36
38.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
39.
What does the P stand for in nPr?
a)
Partners
b)
Positions
c)
Papers
d)
Permutations
40.
Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
41.

A box contains 5 color pencils. How many different sets of 3 pencils can be chosen from it?

a)

10

b)

4

c)

6

d)

20

42.

In a group of 20 members, 12 are boys and 8 are girls. Find the number of ways of forming a 15 member committee which should include 9 boys.

a)

455

b)

15504

c)

19958400

d)

6160

43.

How many different arrangements can be made from WATER?

a)

5

b)

120

c)

10

d)

0

44.

How many ways can you arrange 10 books on a shelf?

a)

10

b)

100

c)

50

d)

3,628,800

45.

How many different arrangements can be made from COLLEGE?

a)

28

b)

720

c)

5040

d)

35280

46.

Simplify the expressions 6P5

a)

1

b)

30

c)

720

d)

6

47.

Simplify the expression 5C2

a)

20

b)

10

c)

120

d)

60

48.

Simplify the expression 9C6

a)

84

b)

54

c)

24

d)

124

49.

Simplify the expression 7!/4!

a)

18

b)

260

c)

210

d)

24

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