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Basic Probability as Fractions, Decimals, and Percents. Practice worksheets with solutions for a better understanding of the concepts.

1.
® Name:

Date:

Basic Probability as Fractions BP 1

Instructions: Use this spinner to answer the following questions: 8 1

(Use fraction form to express the probabilities and simplify if 2

possible.)

7

6 3

5 4

1 What is the probability of 1 2 What is the probability of 2 or

1

spinning a 1? 8 spinning a 1 or a 2? 8 4

3 What is the probability of 1 4 What is the probability of 4 1

or

spinning a 6? 8 spinning a white sector?

8 2

What is the probability of 0 What is the probability of 4 1

5 or 0 6 or

spinning a 10? 8 spinning an even number? 8 2

7 What is the probability of 4 or

1 8 What is the probability of 3

spinning a grey sector? 8 2 spinning a number greater 8

than 5?

Instructions: Use this bag of 10 marbles to answer the following

questions: (Use fraction form to express the probabilities and simplify

if possible.)

If you randomly select a marble...

9 What is the probability that 3 10 What is the probability that 5 or 1

it will be black? 10 it will be grey? 10 2

What is the probability that 2 or 1 What is the probability that 0 or

11

it will be white?

12

it will be green? 0

10 5 10

13 What is the probability that 5 or 1 14 What is the probability that 8 or 4

it will be black or white? 10 2 it will be black or grey? 10 5

What is the probability that 7 What is the probability that 10 or

15 16 1

it will be white or grey? 10 it will not be green? 10

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

Date:

Basic Probability as Fractions BP 1

Instructions: Use this spinner to answer the following questions: 8 1

(Use fraction form to express the probabilities and simplify if 2

possible.)

7

6 3

5 4

1 What is the probability of 1 2 What is the probability of 2 or

1

spinning a 1? 8 spinning a 1 or a 2? 8 4

3 What is the probability of 1 4 What is the probability of 4 1

or

spinning a 6? 8 spinning a white sector?

8 2

What is the probability of 0 What is the probability of 4 1

5 or 0 6 or

spinning a 10? 8 spinning an even number? 8 2

7 What is the probability of 4 or

1 8 What is the probability of 3

spinning a grey sector? 8 2 spinning a number greater 8

than 5?

Instructions: Use this bag of 10 marbles to answer the following

questions: (Use fraction form to express the probabilities and simplify

if possible.)

If you randomly select a marble...

9 What is the probability that 3 10 What is the probability that 5 or 1

it will be black? 10 it will be grey? 10 2

What is the probability that 2 or 1 What is the probability that 0 or

11

it will be white?

12

it will be green? 0

10 5 10

13 What is the probability that 5 or 1 14 What is the probability that 8 or 4

it will be black or white? 10 2 it will be black or grey? 10 5

What is the probability that 7 What is the probability that 10 or

15 16 1

it will be white or grey? 10 it will not be green? 10

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

2.
® Name:

Date:

Basic Probability as Fractions, Decimals and Percents BP 2

Instructions: Use this spinner to answer the following questions: 5 a

(You can use a calculator to get the decimal values if you need to.) 4 b

3 c

2 1

What is the probability of 5

1

spinning a number? 8 0.625 62.5%

fraction decimal percentage

What is the probability of

3

2

spinning a letter? 8 0.375 37.5%

fraction decimal percentage

What is the probability of 1

3

spinning a ‘b’? 8 0.125 12.5%

fraction decimal percentage

What is the probability of 2 or

1

4

spinning a grey sector? 8 4 0.25 25%

fraction decimal percentage

What is the probability of 6 or

3

5

spinning a white sector? 8 4 0.75 75%

fraction decimal percentage

What is the probability of spinning 4 or

1

6

a number less than 5? 8 2 0.5 50%

fraction decimal percentage

What is the probability of spinning a

8 or 1

7

number or a letter? 8 1.0 100%

fraction decimal percentage

What is the probability of 0

8

spinning a 6? 8 0.0 0%

fraction decimal percentage

9 What is the probability of spinning 7

a white sector or a 2? 8 0.875 87.5%

fraction decimal percentage

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

Date:

Basic Probability as Fractions, Decimals and Percents BP 2

Instructions: Use this spinner to answer the following questions: 5 a

(You can use a calculator to get the decimal values if you need to.) 4 b

3 c

2 1

What is the probability of 5

1

spinning a number? 8 0.625 62.5%

fraction decimal percentage

What is the probability of

3

2

spinning a letter? 8 0.375 37.5%

fraction decimal percentage

What is the probability of 1

3

spinning a ‘b’? 8 0.125 12.5%

fraction decimal percentage

What is the probability of 2 or

1

4

spinning a grey sector? 8 4 0.25 25%

fraction decimal percentage

What is the probability of 6 or

3

5

spinning a white sector? 8 4 0.75 75%

fraction decimal percentage

What is the probability of spinning 4 or

1

6

a number less than 5? 8 2 0.5 50%

fraction decimal percentage

What is the probability of spinning a

8 or 1

7

number or a letter? 8 1.0 100%

fraction decimal percentage

What is the probability of 0

8

spinning a 6? 8 0.0 0%

fraction decimal percentage

9 What is the probability of spinning 7

a white sector or a 2? 8 0.875 87.5%

fraction decimal percentage

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

3.
® Name:

Date:

Likely or Unlikely? Etc. BP 3

Instructions: For each question below, tell if the event described would be “impossible”, “unlikely”,

“as likely as not” (you can write “50-50”), “likely” or “certain”.

As likely as not

Impossible (50-50) Certain

0 1 1

Unlikely 2 Likely

1 What is the probability of flipping 2 If the weather report says there is a

“heads” in a fair coin toss? 100% chance of rain in the afternoon, it

means that rain is...

as likely as not (or 50-50) certain

3 A bag of marbles contains 10 red, 5 4 On a multiple choice question, if there

green and 7 blue marbles. How would are 5 possible answers, getting the

you describe the probability of randomly right answer by a completely random

choosing a yellow marble from the bag? guess would be...

impossible unlikely

5 If a music playlist contains 8 songs you 6 Rolling a 6 on a standard 6-sided die is

like and 2 you don’t, randomly playing a considered...

song that you like is...

likely unlikely

7 Rolling an even number on a standard 8 If the weather report says there is a

6-sided die would be... 20% chance of snow, that would be

considered...

as likely as not (or 50-50) unlikely

9 If a bag of marbles contains 10 blue, 10 If an assorted box of chocolates contains

4 yellow and 4 red marbles, randomly 20 different kinds, and you like all of them,

choosing a blue marble would be... what is the probability that you will

randomly select one that you like?

likely certain

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

Date:

Likely or Unlikely? Etc. BP 3

Instructions: For each question below, tell if the event described would be “impossible”, “unlikely”,

“as likely as not” (you can write “50-50”), “likely” or “certain”.

As likely as not

Impossible (50-50) Certain

0 1 1

Unlikely 2 Likely

1 What is the probability of flipping 2 If the weather report says there is a

“heads” in a fair coin toss? 100% chance of rain in the afternoon, it

means that rain is...

as likely as not (or 50-50) certain

3 A bag of marbles contains 10 red, 5 4 On a multiple choice question, if there

green and 7 blue marbles. How would are 5 possible answers, getting the

you describe the probability of randomly right answer by a completely random

choosing a yellow marble from the bag? guess would be...

impossible unlikely

5 If a music playlist contains 8 songs you 6 Rolling a 6 on a standard 6-sided die is

like and 2 you don’t, randomly playing a considered...

song that you like is...

likely unlikely

7 Rolling an even number on a standard 8 If the weather report says there is a

6-sided die would be... 20% chance of snow, that would be

considered...

as likely as not (or 50-50) unlikely

9 If a bag of marbles contains 10 blue, 10 If an assorted box of chocolates contains

4 yellow and 4 red marbles, randomly 20 different kinds, and you like all of them,

choosing a blue marble would be... what is the probability that you will

randomly select one that you like?

likely certain

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

4.
® Name:

Date:

The Probability Line BP 4

Instructions: Answer the following probability questions using both fraction and decimal form.

(You can use a calculator to get the decimal form if you need to.) Then plot the probabilities on

the Probability Line.

1 A spinner has 5 equally sized sectors 2 What is the probability of rolling an

numbered 1 thru 5. What is the prob- even number on a standard 6-sided

ability of spinning a 2? die?

1 3 or

1

5 0.2 6 2 0.5

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

3 A bag contains 20 marbles. 5 are blue 4 A spinner has 10 equally sized sectors

and the rest are red. What is the prob- numbered 1 thru 10. What is the prob-

ability of randomly choosing a red ability of spinning a number that’s

marble? greater than 1?

15 or

3 9

20 4 0.75 10 0.9

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

5 A box of popsicles contains 3 cherry, 6 A box of 12 chocolates has 3 pieces

3 grape and 4 orange. What is the that contain nuts. If you choose at

probability of randomly choosing random, what is the is probability of

orange? getting a piece with nuts?

4 3 1

or

10 0.4 12 4 0.25

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC

Date:

The Probability Line BP 4

Instructions: Answer the following probability questions using both fraction and decimal form.

(You can use a calculator to get the decimal form if you need to.) Then plot the probabilities on

the Probability Line.

1 A spinner has 5 equally sized sectors 2 What is the probability of rolling an

numbered 1 thru 5. What is the prob- even number on a standard 6-sided

ability of spinning a 2? die?

1 3 or

1

5 0.2 6 2 0.5

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

3 A bag contains 20 marbles. 5 are blue 4 A spinner has 10 equally sized sectors

and the rest are red. What is the prob- numbered 1 thru 10. What is the prob-

ability of randomly choosing a red ability of spinning a number that’s

marble? greater than 1?

15 or

3 9

20 4 0.75 10 0.9

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

5 A box of popsicles contains 3 cherry, 6 A box of 12 chocolates has 3 pieces

3 grape and 4 orange. What is the that contain nuts. If you choose at

probability of randomly choosing random, what is the is probability of

orange? getting a piece with nuts?

4 3 1

or

10 0.4 12 4 0.25

fraction decimal fraction decimal

0 1 1 0 1 1

2 2

Basic Probability • mathantics.com © 2018 Math Plus Motion, LLC