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Independent and Dependent Events

Explore the concepts of independent and dependent events in probability with this engaging worksheet for 6th graders.

Grade 6 Math Probability and StatisticsIndependent and Dependent Events
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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.7.SP.C.8.A

Topics

mathprobabilityindependent eventsdependent eventsgrade 6
7 sections · Free to use · Printable
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Independent and Dependent Events

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Read each question carefully and determine whether the events described are independent or dependent. Then, answer the questions as prompted.

1. Which of the following describes two independent events?

a

Drawing a red marble, then drawing another red marble without replacing the first.

b

Flipping a coin and getting heads, then rolling a die and getting a 6.

c

Choosing a student for a presentation, then choosing another student from the remaining class for a different task.

d

Picking a card from a deck, not replacing it, then picking another card.

2. You have a bag with 3 red, 2 blue, and 5 green marbles. You pick a marble, put it back, and then pick another marble. Are these events independent or dependent?

a

Independent

b

Dependent

3. If the outcome of one event does not affect the outcome of another event, the events are called  .

4. If the outcome of one event changes the probability of the outcome of another event, the events are called  .

5. Drawing two cards from a deck without replacement represents independent events.

T

True

F

False

6. Rolling a die and then flipping a coin are independent events.

T

True

F

False

7. Describe a real-world scenario that represents two independent events.

8. Describe a real-world scenario that represents two dependent events.

9. A bag contains 4 red apples and 6 green apples. You pick an apple, eat it, and then pick another apple. a) Are these events independent or dependent? Explain why.

b) What is the probability of picking two red apples?