Permutations and Combinations Worksheet – Algebra 2 Probability with Answer Key

Permutations and Combinations Worksheet – Algebra 2 Probability

This Algebra 2 probability worksheet covers permutations, combinations, and conditional probability with over 90 problems designed to build confidence and mastery. The resource is structured from warm-up review questions through challenging applications, making it versatile for classwork, homework, test prep, or independent practice.

This worksheet is aligned to the Common Core State Standards for High School Statistics & Probability: HSS.CP.B.8 – Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

What’s Included

• Fully editable worksheet (Word/Google Docs) so teachers can customize for their classroom
• Complete answer key with detailed solutions for every question
• Clear, organized layout with numbered sections for easy assignment and grading

Detailed Outline

Part A: Warm-Up & Review

• Key vocabulary definitions (factorial, permutation, combination, conditional probability, multiplication rule, outcome, sample space)
• 4 prerequisite review questions

Part B: Permutations (10 problems)

• Arrangements of letters, digits, lineups, seating, and job assignments

Part C: Combinations (10 problems)

• Committees, teams, pizza toppings, study groups, and poker hands

Part D: Probability Applications (10 problems)

• Using permutations and combinations in card games, athletes, passwords, and committee selection

Part E: Conditional Probability & Multiplication Rule (10 problems)

• Problems with replacement and without replacement, dice, marbles, and cards

Part F: Challenge Problems (10 problems)

• Advanced problem solving with seating arrangements, word arrangements, circular permutations, lottery problems, and at least/at most scenarios

Why This Resource Works

• Aligned to CCSS HSS.CP.B.8
• More than 90 practice problems from basic to advanced
• Editable format allows quick adjustments for differentiation
• Answer key included to save time
• Flexible for practice, assessment, or substitute plans

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!