Compound Probability From Tree Diagrams
Written by Adi Ackerman, Head Teacher
"Compound Probability From Tree Diagrams" 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: multiply along tree diagram branches to find compound probabilities, with and without replacing marbles. Answer key included. Part of our compound events probability collection.
How do I use this worksheet?
Teach sample spaces first, then counting outcomes and sums. Save the compound probability sheets for last and use the riddle, maze and game board as reviews.
What students will practice
- Students will multiply along the branches of a tree diagram to find a probability.
- Students will use trees for picks with replacement and without replacement.
- Students will find probabilities for coins, marbles, hoop shots and cards.
Curriculum Links
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FAQ
How do I use this compound events worksheet?
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Teach sample spaces first, then counting outcomes and sums. Save the compound probability sheets for last and use the riddle, maze and game board as reviews.
What does this worksheet teach?
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Multiply along tree diagram branches to find compound probabilities, with and without replacing marbles. The directions on the page read: Multiply along the branches to find each probability. Write it as a fraction in simplest form. H heads, T tails, R red, B blue, G green, Y yellow, E even, O odd. The page opens with a worked example, and an answer key is included.
Can I use this compound 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.
What is a sample space?
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A sample space is the list of every possible outcome. For picking a sock G or W and a cap 1, 2 or 3, it is G1, G2, G3, W1, W2 and W3.
How do you count outcomes of a compound event?
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Multiply the number of choices at each stage. A 5 part spinner spun 3 times gives 5 times 5 times 5, or 125 outcomes.
Why is 7 the most common sum of two number cubes?
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Six of the 36 outcomes give a sum of 7, more than any other sum. Students fill in a table of sums to see this and use it on the Sums Game Board.
Are answer keys included for these sheets?
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Yes. Each of the 20 compound 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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