Resources

Resources

Probability of independent and dependent events

Hazel makes teddy bears to sell online. She has a huge box of pom-poms in different sizes that she sews onto the nose of each bear she makes. She randomly selects

11

pom-poms from the box. Here are the sizes she selects:

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small, medium, large, small, medium, small, small, large, medium, large, medium

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Based on the data, what is the probability of selecting a small pom-pom?

You pick a card at random. Without putting the first card back, you pick a second card at random.

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1234

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What is the probability of picking a

4

and then picking a

3

? Write your answer as a fraction or whole number.

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You pick a card at random. Without putting the first card back, you pick a second card at random.

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678

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What is the probability of picking a

6

and then picking a

6

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Write your answer as a fraction or whole number.

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You pick a card at random. Without putting the first card back, you pick a second card at random.

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789

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What is the probability of picking an

8

and then picking a

7

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Write your answer as a fraction or whole number.

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\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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3456

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What is the probability of picking a

6

and then picking a

5

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Write your answer as a fraction or whole number.

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\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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123

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What is the probability of picking a

3

and then picking a

2

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Write your answer as a fraction or whole number.

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\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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456

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What is the probability of picking a

6

and then picking a

5

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Write your answer as a fraction or whole number.

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\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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1234

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What is the probability of picking a

1

and then picking a

3

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Write your answer as a fraction or whole number.

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\_\_\_

You pick a card at random, put it back, and then pick another card at random.

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234

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What is the probability of picking a

4

and then picking a

4

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Write your answer as a fraction or whole number.

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\_\_\_\_

You pick a card at random, put it back, and then pick another card at random.

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3456

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What is the probability of picking a

5

and then picking a

6

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Write your answer as a fraction or whole number.

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\_\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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1234

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What is the probability of picking a

2

and then picking a

4

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Write your answer as a fraction or whole number.

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\_\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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5678

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What is the probability of picking a

6

and then picking a

5

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Write your answer as a fraction or whole number.

\newline

\_\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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4567

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What is the probability of picking a

4

and then picking a

4

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Write your answer as a fraction or whole number.

\newline

\_\_\_\_

You pick a card at random, put it back, and then pick another card at random.

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345

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What is the probability of picking a

4

and then picking a

3

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Write your answer as a fraction or whole number.

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\_\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

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456

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What is the probability of picking a

5

and then picking a

6

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Write your answer as a fraction or whole number.

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\_\_\_\_

6

-sided die two times.

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What is the probability of rolling a

6

and then rolling a

1

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Write your answer as a fraction or whole number.

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Ted bought a collection of sports trading cards from a flea market. He randomly picks one card from the collection, puts it back, and picks another card. He repeats this several times and gets

7

6

3

4

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Based on the data, what is the probability that the next card Ted picks will be a baseball card?

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Write your answer as a fraction or whole number.

Danielle makes fluffy stuffed animals to give to local charities. She has a container of

500

googly eyes in different sizes that she sews onto the animals. She randomly selects

28

googly eyes from the container and gets

12

9

7

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Based on the data, what is the probability that the next googly eye Danielle selects will be large?

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Write your answer as a fraction or whole number.

The Crafty Corner had a spring sale, so Elise bought a huge bag of assorted beads. She's curious about the colors of the beads, so she randomly picks one from the bag, records its color, then puts it back in. She does this

20

times and finds that she has picked

6

2

5

4

3

purple beads. Based on the data, what is the probability of choosing a red bead? Write your answer as a fraction or whole number.

Ms. Crawford bought a large bag of plastic shapes that her students can use to build

3D

figures. She was curious what color shapes she received, so she randomly selected some shapes from the bag. Here are the colors of the shapes she selected:

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blue, green, yellow, green, blue, blue, orange, green, yellow, blue, green, blue

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Based on the data, what is the probability of selecting a blue shape?

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Write your answer as a fraction or whole number.

Louis is a technician at Byte Size Repairs. He records information on what parts have failed when laptops come in to be fixed. Here are the results of the failed parts from laptops that came in today:

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fan, battery, hard drive, fan, hard drive, keyboard, battery, fan, hard drive

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Based on the data, what is the probability that the next laptop will need to be repaired due to hard drive failure?

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Write your answer as a fraction or whole number.

Lindsey has a stack of collectible cards based on her favorite comic-book series, The Defenders of Valley View. She randomly selects

15

1

3

Professor Bookerton,

7

4

Wizard Walter cards.

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Based on the data, what is the probability that the next card Lindsey selects will be a Mr. Meld card?

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Write your answer as a fraction or whole number.

6

-sided die two times. What is the probability of rolling a

6

and then rolling a

6

? Write your answer as a fraction or whole number.