pdf, 127.23 KB
pdf, 127.23 KB

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

Get this resource as part of a bundle and save up to 31%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Statistics & Probability Worksheet Bundle | Mean Median Mode Sample Space

A collection of three worksheets on the following topics: * Measures of Center (Mean, Median, Mode) * Measures of Location and Variability * Probability (Sample Space and Counting Principle) In the first worksheet, the students are required to find the mean, the median and the mode for given data sets which are presented as a list of numbers or using a bar chart. Word problems involving these measures are also included. In the second worksheet, the students are required to find the mean, the median, the mode, the weighted mean, the range, the standard deviation and the coefficient of variation of given data sets. In the third worksheet, the students are required to determine the probability of an outcome by using sample spaces and the Fundamental Counting Principle. Detailed solutions are included. Are you looking for a complete set of ready-to-print practice resources for your data analysis and probability lessons? This Statistics and Probability Worksheet Bundle features 3 comprehensive student activity packets packed with rigorous practice problems and includes fully worked-out step-by-step teacher solutions keys for every single page. This comprehensive package moves far beyond basic formula drills into deep algebraic problem-solving and visual data analysis. Students will master central tendency, variability metrics, sample space mapping, and compound event calculations. It is perfect for an in-class lesson, homework task, differentiated activity, revision preparation, or high-quality cover work! **What’s Included in This Bundle?** This premium resource bundle gives you 3 distinct multi-page worksheet packets: 1. **Measures of Center Practice Packet** * Focuses on finding the mean, median, and mode from raw data arrays and real-world datasets. * Includes visual bar chart interpretation for tracking frequencies and data patterns. * Features advanced algebra challenges requiring students to solve for missing variables using given mean and median constraints. 2. **Measures of Location and Variability Packet** * Explores data dispersion using raw data lists tracking realistic scenarios. * Guides students through calculating advanced metrics like range, variance, standard deviation, and the coefficient of variation (CV). * Covers weighted mean calculations using specific weights and task values. 3. **Probability (Sample Space and Counting Principle) Packet** * Features classic compound events including multi-stage coin tosses, rolling pairs of dice, and code combinations. * Explores visual indicators using multi-section spinners. * Integrates complex event logic like inequalities, constraints, dependent events, and consecutive drawing without replacement. **Skills and Concepts Covered:** * **Central Tendency & Charts:** Calculating baseline mean, median, and mode while extracting values directly from visual bar charts. * **Advanced Algebraic Modeling:** Applying formulas backward to calculate missing data parameters within ascending data sets. * **Statistical Variability:** Transitioning students into higher-level calculations of standard deviation, variance, and range. * **Sample Space Construction:** Generating complete tree diagrams, tables, and outcome matrices for multi-stage experimental trials. * **Fraction and Decimal Probability:** Expressing exact theoretical compound probability values in cleanly simplified fractional notation. **Why Teachers Choose This Resource Bundle:** * **Massive Time Saver:** A full unit's worth of printable data packets completely prepared and structured for you. * **Step-by-Step Answer Keys:** Every worksheet comes with an identical teacher companion showing all computation phases, formula setups, and data sequencing. * **Secondary School Rigor:** Tailored specifically for secondary maths levels, blending algebra skills smoothly with data tracking. **Target Age Range:** * **Age Range:** 11–14 years old * **Resource Type:** Worksheet / Activity / Revision / Bundle

£3.60

Reviews

Something went wrong, please try again later.

This resource hasn't been reviewed yet

To ensure quality for our reviews, only customers who have purchased this resource can review it

Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.