

A worksheet on probability. Students are required to determine the probability of an outcome by using sample spaces and the Fundamental Counting Principle. Ten problems are included and detailed solutions are provided.
Are you looking for a thorough and ready-to-print practice resource for your probability lessons? This Probability Sample Space and Counting Principle Worksheet includes a complete 10-question student activity packet and a fully worked-out step-by-step teacher solutions key.
This resource is designed to guide secondary school students through the foundational mechanics of simple and compound events. It transitions smoothly from introductory sample space listings into advanced multi-stage counting logic, making it perfect for an in-class lesson, homework task, revision day, assessment preparation, or high-quality cover work!
What’s Included in This Download?
- 10 rigorous practice problems exploring simple and compound probability.
- Step-by-step teacher solutions key showing exact sample space configurations and simplified fraction math.
- Printable PDF format.
Skills and Concepts Covered:
- Sample Space Creation: Writing out complete sets of outcomes for single and compound scenarios.
- The Fundamental Counting Principle: Calculating total possible combinations across multiple event stages (like school subjects paired with sports).
- Classic Probability Experiments: Evaluating exact outcomes for rolling dice, tossing coins multiple times, and predicting multi-digit codes.
- Visual Diagram Analysis: Using dual-wheel spinners to track geometric and numerical outcomes.
- Event Inequality Adjustments: Calculating specific probabilities where terms are “at least”, “at most”, or rely on digit sums.
- Dependent and Independent Events: Tracking sample space changes when drawing consecutive items without replacement.
Why Teachers Choose This Resource:
- Zero Prep Required: Simply download, print, and distribute directly to your math class.
- Scaffolded Rigor: Progresses naturally from single-die rolls up to complex four-stage coin tosses.
- Detailed Answer Key: The complete solutions key displays every element of the sample space lists, making marking effortless and allowing students to self-check easily.
Target Age Range:
- **Age Range: **11–14 years old
- Resource Type: Worksheet / Activity / Revision
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