Independent and Dependent Events | Algebra 2 CCSS Probability Activity

Independent and Dependent Events | Algebra 2 CCSS Probability Activity

This comprehensive Algebra 2 worksheet focuses on independent and dependent events, with built-in practice on conditional probability and interpreting event relationships using real-world applications. It's designed to provide 90–120 minutes of meaningful, standards-based instruction and aligns directly with Common Core Standards HSS.CP.A.2 and HSS.CP.A.3.

Ideal for classwork, homework, sub plans, or test prep, this no-prep activity helps students make sense of complex probability relationships using structured sections and progressive difficulty.

What’s Included:

• Part A: Warm-Up
  • Key terms with definitions
  • Pre-requisite review questions on sample space and basic probability
• Part B: Classify Events
  • 10 problems where students determine if events are independent or dependent

• Part C: Apply the Definition of Independence
  • 10 problems requiring students to evaluate whether P(A and B) = P(A) × P(B)

• Part D: Conditional Probability
  • 10 problems using the formula P(A|B) = P(A and B)/P(B) to determine independence
• Part E: Mixed Word Problems
  • 10 real-world probability scenarios with a mix of conditional and joint probability applications
• Part F: Create Your Own
  • 10 prompts that challenge students to create and solve their own probability situations
• Answer Key
  • Complete and easy-to-follow solutions for all 60 questions and prompts

• 100% Editable Format
  • Delivered in a format that allows you to easily customize question difficulty, language, or formatting to match your classroom needs

Standards Alignment:

This worksheet is aligned to the following Common Core State Standards for High School Statistics and Probability:

• HSS.CP.A.2 – Understand that two events A and B are independent if P(A and B) = P(A) × P(B), and use this to determine whether events are independent.
• HSS.CP.A.3 – Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as meaning that the conditional probability of A given B is the same as the probability of A.

Key Features:

• No prep required—just print or upload to your LMS
• Designed for 90 to 120 minutes of class time
• Strong progression from basic identification to real-world application
• Ideal for use as a practice set, assessment, or review tool
• Editable for easy differentiation
• Includes full answer key

Who Is It For?

• Algebra 2 teachers covering probability units
• High school statistics or integrated math instructors
• Educators preparing students for CCSS-aligned standardized tests
• Teachers seeking structured, editable resources with built-in critical thinking

Help your students master the difference between independent and dependent events while reinforcing key probability skills and meeting Common Core expectations. This worksheet makes it easy to deliver focused, rigorous practice with flexibility to fit your curriculum.

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