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Probability Test Review

Total questions: 48

Worksheet time: 4hrs 0mins

Name
Class
Date
1.
A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?
a)
1/2
b)
3/5
c)
2/5
d)
5/11
2.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
3.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
4.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

5.
How many total outfit options are represented?
a)
12
b)
22
c)
3
6.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
7.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
8.
Which of the following represents the shaded region?
a)
A union B
b)
A intersect B
c)
A ⊂ B
d)
B ⊂ A
9.
Which of the following statements are true for the Venn diagram shown?
a)
A ∩ B = ⊘
b)
A ⋃ B = ⊘
c)
A ⋃ B = A
d)
A ⋂ B = A
10.
Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C ∩ B
a)
{2,4,6,8,10}
b)
{2,4,5,6,7,8,10}
c)
{2, 3, 4, 5, 6, 7, 8}
11.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
12.

The elements of   A′A'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

{5,6,7,8,9,10,11}

13.

The elements of   B′B'   are...

a)

{1,4}

b)

{1,4,6,8,9,10}

c)

{5,7,11}

d)

{5,6,7,8,9,10,11}

14.

Which image represents the intersection of two sets?

a)
b)
c)
d)
15.

Which image represents the union of two sets?

a)
b)
c)
d)
16.

Which image represents the complement of a set?

a)
b)
c)
d)
17.
A = {1, 3, 5, 7, 9}
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}
18.

The elements in P∪Q are

a)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b)

{0, 1, 2, 3, 8, 9, 10}

c)

{4, 5, 6, 7}

d)

{ }

19.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
20.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
21.
A likely chance event is closer to what number?
a)
0
b)
1
c)
.5
d)
100
22.
An unlikely chance event is closer to what number?
a)
0
b)
1
c)
2
d)
3
23.

There are 4 jacks in a standard deck of 52 playing cards. If Peyton selects a card at random, what is the probability that it will be a jack?

a)

1/13

b)

1/52

c)

1/2

d)

12/13

24.

Jon made 15 out of 35 free throws.

What is his experimental probability as a fraction?


**SIMPLIFY THE FRACTION!**

a)

3/7

b)

15/35

c)

1/2

d)

5/7

25.

Kate spun the spinner 75 times and landed on "3" thirty times.

What is the experimental probability as a percentage?

a)

20%

b)

30%

c)

40%

d)

50%

26.

Theoretically, what is the probability that you will land on a 3?

a)

25%

b)

50%

c)

75%

d)

0%

27.

Jill rolled a "5" fifteen times out of 20 rolls on a dice.

What is the experimental probability as a SIMPLIFIED FRACTION!

a)

3/7

b)

3/6

c)

3/5

d)

3/4

28.

What is the theoretical probability of rolling a 5 on a dice?

a)

1/6

b)

5/6

c)

6

d)

15

29.

Choose the statement that is true about the experimental and theoretical probability of rolling a number cube 20 times.

a)

The experimental probability of rolling 3 is 16.6% and the theoretical probability is 15%

b)

The experimental probability of rolling 3 is 15% and the theoretical probability is 16.6%

c)

The experimental probability of rolling 1 is greater than the theoretical probability

d)

The experimental probability of rolling 6 is 16.6% and the theoretical probability of rolling 6 is 25%

30.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
31.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
32.
Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?
a)

Not Mutually Exclusive

b)
Mutually exclusive
c)
1/2
d)
1/6
33.

A card is randomly draw from a shuffled deck of cards and not replaced. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?

a)

49%

b)

50%

c)

24.5%

d)

25%

34.

Amanda spins a spinner numbered 1 to 10. What is the probability that the spinner lands on an odd number or a number that is divisible by 3?

a)

45\frac{4}{5}

b)

35\frac{3}{5}

c)

15\frac{1}{5}

d)

320\frac{3}{20}

35.

The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?

a)

112\frac{1}{12}

b)

16\frac{1}{6}

c)

14\frac{1}{4}

d)

1136\frac{11}{36}

36.

To win a prize in a game, a player must throw a ball into a basket or kick a ball through a goal.


• The probability that the player will throw the ball into the basket is 0.30.

• The probability that the player will kick the ball through the goal is 0.20.

• The probability that the player will throw the ball into a basket and kick the ball through the goal is 0.06.


What is the probability that the player will either throw the ball into the basket or kick the ball through the goal, but NOT both?

a)

0.04

b)

0.44

c)

0.50

d)

0.56

37.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


2) What is the probability a randomly selected student is male?

a)

12/100

b)

17/100

c)

44/100

d)

56/100

38.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


4) Given that the grade is an A, what is the probability of the student being female?

a)

8/20

b)

12/20

c)

8/44

d)

12/56

39.

Given the Venn diagram, what numbers are in the set of  C∪DC\cup D  ?

a)

{5, 9}

b)

{1, 4, 5, 6, 9}   

c)

{1, 4, 5, 5, 6, 9, 9}

d)

{1, 4, 5, 9}

40.

Same scenario as in Question 8. Knowing that the ordered hot dog has either Hoisin BBQ sauce or Spicy Mayo, what is the probability that the hot dog also has Peanut Satay sauce?

a)

31/43

b)

31/96

c)

10/96

d)

10/22

41.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
42.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
43.

Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.

a)

Independent

b)

Dependent

44.

Tom will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Tome will select a treat, replace it, and then select a second treat.

a)

Independent

b)

Dependent

45.

Determine if the events are independent or dependent.

a)

Independent

b)

Dependent

46.

Determine if the events are independent or dependent.

a)

Independent

b)

Dependent

47.

Determine if the events are independent or dependent.

a)

Independent

b)

Dependent

48.

Determine if the events are independent or dependent.

a)

Independent

b)

Dependent

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