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.

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