Represent finite sample spaces for simple one- and multi-step experiments using organized lists, tables, and tree diagrams, and calculate theoretical probabilities by counting equally likely favorable outcomes out of all outcomes. Determine probabilities of complementary, mutually exclusive, and independent compound events using complements, addition, and multiplication, including simple “at least one” situations while excluding conditional probability and dependent events. Calculate experimental probabilities and use simulations to estimate them, then compare experimental and theoretical values in fractions, decimals, percentages, tables, or graphs while explaining random variation and the stabilizing effect of more trials.
On this page:
- Master skills like “Calculate theoretical probability”, “Represent sample spaces using tables”, and “Represent sample spaces using tree diagrams” with unlimited, free practice problems
- Download (or modify) free worksheets on Probability you can use at home or in class with practice problems across all skills in this group including “Represent sample spaces using organized lists”, “Determine probabilities of complementary events”, “Determine probabilities of mutually exclusive events”.
- Start working on adaptive units like “Probability and Counting - Multiple Events - Practice” or “Probability and Counting - Fundamental Counting Principle - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Probability: Individual Skills
Master 7 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Calculate probabilities of independent compound events
- Calculate theoretical probability
- Determine probabilities of complementary events
- Determine probabilities of mutually exclusive events
- Represent sample spaces using organized lists
- Represent sample spaces using tables
- Represent sample spaces using tree diagrams
Practice 'Calculate probabilities of independent compound events'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 9 'Probability' Worksheet
Print this free 'Probability' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Calculate probabilities of independent compound events
- Calculate theoretical probability
- Determine probabilities of complementary events
- Determine probabilities of mutually exclusive events
- Represent sample spaces using organized lists
- Represent sample spaces using tables
- Represent sample spaces using tree diagrams
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Probability) through scaffolded problems that grow in difficulty as concepts are understood.