Independent and Dependent Events Review
Written by Adi Ackerman, Head Teacher
"Independent and Dependent Events Review" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on probability can use it too, and an older student can use it as a short review.
8th grade math worksheet: find 12 independent and dependent probabilities, from bags of red and blue to two cubes, with a bank. Answer key included. Part of our independent and dependent events probability collection.
How do I use this worksheet?
Start with Independent or Dependent and With or Without Replacement. Move to the probability sheets once students can label each situation, and use the review as a final check.
What students will practice
- Students will find probabilities of independent and dependent events.
- Students will compare the same picks with and without replacement.
- Students will check each answer by crossing it off in the answer bank.
Curriculum Links
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FAQ
How do I use this independent and dependent events worksheet?
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Start with Independent or Dependent and With or Without Replacement. Move to the probability sheets once students can label each situation, and use the review as a final check.
What does this worksheet teach?
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Find 12 independent and dependent probabilities, from bags of red and blue to two cubes, with a bank. The directions on the page read: Find each probability as a fraction in simplest form. Each answer is in the bank once. Cross it off when you use it. Spinner sections are equal. The page opens with a worked example, and an answer key is included.
Can I use this independent and dependent events worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade probability, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How can you tell if events are dependent?
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Ask whether the first event changes the chances of the second. Picking a card and keeping it out makes the second pick dependent. Rolling a number cube twice does not.
How do you find the probability of independent events?
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Multiply the two probabilities. For 2 red and 5 blue marbles with the first put back, P(red, red) is 2/7 times 2/7, which is 4/49.
What changes when a pick is not put back?
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The second pick has one fewer item, and the count of the picked color drops by one. For 7 gold and 5 silver coins with a gold kept out, the next P(gold) is 6/11.
Are answer keys included for these sheets?
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Yes. Each of the 10 independent and dependent events sheets comes with an answer key.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Probability |
| Pages | 1 page |
| Difficulty | Medium |
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