Sample Spaces and Probability | Algebra 2 CCSS Worksheet (HSS.MD.A.1 & A.2)

Sample Spaces and Probability | Algebra 2 CCSS Worksheet (HSS.MD.A.1 & HSS.MD.A.2) This Algebra 2 worksheet provides in-depth, standards-aligned practice on sample spaces, probability distributions, and expected value. Aligned to Common Core Standards HSS.MD.A.1 and HSS.MD.A.2, this resource is ideal for in-class instruction, homework, assessment prep, or sub plans. The worksheet includes 60 practice problems, scaffolded across six sections, and is designed to take 90–120 minutes to complete. All content is 100% editable, allowing teachers to customize the material to meet the needs of their students. A full answer key is included. What’s Included: Warm-Up & Key Terms (Part A) Definitions for 10 essential vocabulary terms (sample space, outcome, event, probability, random variable, expected value, etc.) 5 pre-requisite review questions to activate prior knowledge Part B: Sample Spaces – 10 Questions Students list all possible outcomes from events involving coins, dice, spinners, and combinations Supports understanding of compound and independent events Part C: Calculating Probability – 10 Questions Problems involving theoretical and experimental probability Includes single and multi-step compound events Part D: Probability Distributions – 10 Questions Students define random variables and create probability distribution tables Includes discrete distributions based on real-world scenarios Part E: Expected Value – 10 Questions Practice using the expected value formula (E(X) = Σ[x * P(x)]) Real-world applications including games, raffles, and decision-making Part F: Short Response & Reasoning – 10 Questions Critical thinking prompts Students explain fairness, reason through outcomes, and analyze probability-based decisions Complete Answer Key Fully worked-out solutions for all 60 problems Great for student feedback, peer review, or teacher grading Standards Alignment: HSS.MD.A.1 – Define a random variable for a quantity of interest and assign numerical values to each event in a sample space; graph the probability distribution HSS.MD.A.2 – Calculate the expected value of a random variable and interpret it as the mean of the distribution Key Features: 100% Editable in Google Docs or Word Designed for Algebra 2, but also great for advanced Algebra 1 or Pre-Calculus students Structured to fit seamlessly into any Probability Unit Suitable for classwork, homework, review, or assessments Clear layout makes it ideal for independent or small group work This worksheet helps students build both conceptual understanding and procedural fluency in probability while reinforcing critical thinking and application skills. A ready-to-use, standards-based resource that saves time and delivers results. Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!