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Worksheets

Probability

Total questions: 81

Worksheet time: 4hrs 7mins

Name
Class
Date
1.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
2.
What is the probability of spinning a prime number? 
a)
1/2
b)
2/3
c)
1/6
d)
0
3.

If you roll a die one time, find P(even number).

a)

1/4

b)

2/6, or 1/3

c)

3/6 or 1/2

d)

3/4

4.

What is the probability of the spinner landing on an even number?

a)

1/8

b)

4/8, or 1/2

c)

2/8, or 1/4

d)

1/3

5.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
6.
What is the probability of pulling a red marble
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
7.
Is it more likely or less likely to pull a red marble than a green marble?
a)
more likely
b)
less likely
8.
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
9.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
10.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
11.

The likelihood that an event will occur

a)

Outcome

b)

Probability

c)

Experiment

d)

Certain

12.

What's the probability of landing on a 3?

a)

1/2

b)

1/8

c)

2/8 or 1/4

d)

3/8

13.

What's the probability of landing on yellow?

a)

0/8 or 0

b)

1/8

c)

2/8 or 1/4

d)

1/3

14.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
15.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
16.

What is the probability of choosing a C

a)

3 out of 10

b)

2 out of 10

c)

5 out of 10

d)

4 out of 10

17.

What is the probability of choosing a red

a)

2 out of 8

b)

1 out of 8

c)

3 out of 8

d)

2 out of 4

18.

What is the probability of choosing heads on a quarter

a)

1 out of 1

b)

1 out of 2

c)

1 out of 3

d)

2 out of 1

19.

what is the probability of choosing a black hat

a)

1 out of 6

b)

2 out of 6

c)

3 out of 6

d)

5 out of 6

20.

What is the probability of choosing a green

a)

6 out of 6

b)

6 out of 12

c)

5 out of 12

d)

2 out of 12

21.

What is the probability of choosing a green

a)

3 out of 5

b)

3 out of 7

c)

3 out of 6

d)

1 out 6

22.

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

a)

27\frac{2}{7}  

b)

549\frac{5}{49}  

c)

57\frac{5}{7}  

d)

1049\frac{10}{49}  

23.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
24.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
25.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
26.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

27.

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

a)

The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

b)

The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

c)

The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

d)

The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

28.

In a class of 21 students, 7 students do not own a gaming system. At this rate, in a class of 63 students how many students would be estimated to not own a gaming system?

a)

35

b)

7

c)

14

d)

21

29.

What type of probability is a way of estimating the probability of an event happening based on repeated trials?

a)

Experimental Probabillity

b)

Theoretical Probability

30.

What type of probability is used to find the probability of an event when all outcomes are equally as likely. "What COULD happen"

a)

Experimental Probability

b)

Theoretical Probability

31.

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

32.

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

a)

1/6

b)

5/6

c)

6

d)

15

33.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
34.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
35.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
36.
What is the likelihood of rolling an even number on a die?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
37.
An event with a probability close to 1 is......
a)
certain to happen
b)
unlikely to happen
c)
as likely as not to happen
d)
likely to happen
38.
A bag contains 5 blue marbles and 15 green marbles.  What is the likelihood of choosing a blue marble?
a)
certain
b)
unlikely
c)
impossible
d)
likely
39.

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

40.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
41.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

a)

17/26

b)

1/8

c)

5/13

d)

1/6

42.
A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue) 
a)
1/25
b)
1/5
c)
1/20
d)
2/5
43.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

44.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P quarter, then nickel).

a)

1/39

b)

1/20

c)

10/39

d)

9/195

45.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (both dimes).

a)

17/200

b)

1/25

c)

51/260

d)

102/521

46.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P ( worth at least 10 cents, then penny).

a)

7/20

b)

1/25

c)

11/100

d)

22/195

47.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P ( silver coin, then penny).

a)

32/195

b)

18/195

c)

0

d)

1/25

48.

Find the probability of each set of independent events.


drawing a black checker from a bag of 6 black checkers and 4 red checkers, replacing it, and drawing another black checker.

a)

2/3

b)

9/25

c)

2/5

d)

3/5

49.

Find the probability of each set of independent events.


rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

a)

1/12

b)

1/6

c)

1/8

d)

1/2

50.

Find the probability of each set of independent events.


flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

a)

1/2

b)

1/7

c)

1/5

d)

1/10

51.

Find the probability of each set of independent events.


drawing a 1,2, or 3 from 9 cards numbered 1-9, replacing the card, and drawing 7, 8, or 9.

a)

1/3

b)

1/9

c)

3/8

d)

1/12

52.

A standard die is rolled twice. Find each probability.


P (odd both times)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

53.

A standard die is rolled twice. Find each probability.


P (both perfect squares)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

54.

A standard die is rolled twice. Find each probability.


P (even, then less than 5)

a)

1/2

b)

1/3

c)

2/3

d)

1/9

55.

A standard die is rolled twice. Find each probability.


P (prime, then 6)

a)

1/2

b)

2/3

c)

1/9

d)

1/12

56.

A standard die is rolled twice. Find each probability.


P (the same number both times)

a)

1/2

b)

1/3

c)

1/6

d)

1/9

57.

A standard die is rolled twice. Find each probability.


P (at least 4 both times)

a)

1/3

b)

1/4

c)

1/6

d)

1/9

58.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P (red, then yellow)

a)

5/138

b)

5/288

c)

5/144

d)

5/12

59.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P (blue, then green)

a)

1/18

b)

1/12

c)

2/3

d)

1/24

60.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P(both blue)

a)

1/18

b)

1/12

c)

1/36

d)

1/24

61.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P(both red)

a)

5/144

b)

5/138

c)

25/140

d)

25/144

62.
What is the probability of flipping a coin and getting tails?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
63.

What is the probability of spinning an even number?

a)

3/50

b)

3/100

c)

1/2

d)

3/4

64.
What is the probability of spinning a prime number? 
a)
1/2
b)
2/3
c)
1/6
d)
0
65.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
66.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
67.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
68.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
69.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 
a)
4/121
b)
8/121
c)
3/121
d)
6/121
70.
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
71.
A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 
a)
Independent
b)
Dependent
72.
Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 
a)
Independent
b)
Dependent
73.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 
a)
3/5
b)
3/4
c)
3/20
d)
2/5
74.
P(even) stands for
a)
Probability of rolling an even number
b)
Probability of rolling an odd number 
c)
Probability of not rolling an even number
d)
Probability of not rolling an odd number 
75.

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

a)

9/49

b)

4/125

c)

1/10

d)

1/30

76.
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
77.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
78.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

1/3

b)

30%

c)

3

d)

1/10

79.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter that is not “A”?

a)

2/7

b)

5/7

c)

5/49

d)

10/49

80.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

a)

1/2

b)

1/4

c)

1/6

d)

1/8

81.

Diamond is playing a game. In the game she has to spin a spinner that is divided into 4 equal sections of green, red, blue, and yellow. What is the probability that on her first spin she will land on green and then red on her second spin?

a)

1/8

b)

1/16

c)

1/4

d)

1/2

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