Binomial Distributions Worksheet | CCSS Algebra 2

Binomial Distributions Worksheet | CCSS Algebra 2

This Binomial Distributions Worksheet is a complete, ready-to-use Algebra 2 resource that helps students practice probability, expected value, and fair decision-making through binomial distributions. Perfect for classwork, homework, or assessment, this worksheet includes a warm-up, vocabulary review, scaffolded problem sets, and a full answer key.

Aligned to Common Core State Standards HSS.MD.B.5 and HSS.MD.B.6, this resource ensures students practice assigning probabilities to outcomes, finding expected values, and applying probability to make fair decisions.

What’s Included:

• Part A: Warm-Up & Prerequisites
  • Key terms with definitions (binomial experiment, trial, success, failure, expected value, etc.)
  • Quick review problems to reinforce foundational probability skills
• Part B: Identifying Binomial Situations (10 problems)
  • Determine whether real-world scenarios fit a binomial model
  • Identify n, p, and the random variable X
• Part C: Calculating Binomial Probabilities (10 problems)
  • Apply the binomial probability formula P(X=k)=C(n,k)p^k(1-p)^(n-k)
  • Problems range from simple coin flips to real-world quality control and multiple-choice testing situations
• Part D: Expected Value in Binomial Distributions (10 problems)
  • Calculate expected values for games, surveys, and real-world decision-making
  • Includes word problems tied to raffles, free throws, and lotteries
• Part E: Fair Decisions with Probability (10 problems)
  • Apply probability to fair selection methods
  • Connects classroom practice to real-life scenarios (lotteries, random draws, games, sports)
• Complete Answer Key for every section (great for fast grading or self-checking)

Why Teachers Love It:

• 100% Editable: Provided in an easy-to-edit format so you can adjust numbers, wording, or difficulty to fit your classroom needs
• CCSS Aligned: Meets the exact standards for Algebra 2 Probability:
  • HSS.MD.B.5 – Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values
  • HSS.MD.B.6 – Use probabilities to make fair decisions (drawing by lots, using a random number generator, etc.)

• Versatile Use: Works as classwork, homework, review, assessment, or sub plans
• Time-Saving: At least 90–120 minutes of meaningful practice already prepared for you

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