Description
Grade Level: 11–12
Subject: AP Statistics, Probability & Simulation
Formats Included: Word & PDF (Editable + Printable)
Pages: ~15
Duration: Multi-day Project (5–7 class periods)
Standards: AP Statistics Units 4–6 (Probability, Random Variables, Sampling Distributions, and Inference)
🃏 Product Overview
Step into the world of probability, risk, and data analysis with this hands-on AP Statistics Casino Project!
Students become casino designers—creating two original $1 games that balance fairness, risk, and profit while exploring expected value, simulation, and inferential statistics.
They’ll calculate theoretical probabilities, run experiments, build distributions, and perform full inference tests (confidence intervals and hypothesis tests). Each section includes reflection questions with model answers to guide understanding and assessment.
🧠 Learning Objectives
Students will:
- Apply expected value, variance, and standard deviation to real-world games.
- Compare theoretical vs. experimental probabilities using simulation.
- Construct and interpret confidence intervals for proportions and means.
- Conduct hypothesis tests to evaluate fairness and house advantage.
- Demonstrate understanding of Law of Large Numbers and risk scaling.
- Design visually appealing, playable casino games backed by statistical reasoning.
📄 What’s Included
- Step-by-step student instructions for all 10 parts (Design → Inference).
- Detailed reflection questions with model teacher answers.
- Bonus Challenges in every section (simulation coding, histograms, bootstrap resampling, etc.).
- 200-point project rubric aligned with AP Statistics learning goals.
- Ready-to-print format for classroom or digital submission.
💡 Teacher Tips
- Use this as a capstone project for your Probability & Inference units.
- Works beautifully with spreadsheets, Python, or classroom dice/card simulations.
- Excellent for cross-curricular collaboration (Math + Computer Science).
- Encourage students to test, iterate, and justify their casino’s fairness mathematically.
🎯 Bonus Opportunities
- Multi-round or conditional game extensions
- Histogram modeling and normal approximations
- Code-based simulations (Sheets or Python)
- Bootstrap resampling and advanced inference
Highlights
Description
Grade Level: 11–12
Subject: AP Statistics, Probability & Simulation
Formats Included: Word & PDF (Editable + Printable)
Pages: ~15
Duration: Multi-day Project (5–7 class periods)
Standards: AP Statistics Units 4–6 (Probability, Random Variables, Sampling Distributions, and Inference)
🃏 Product Overview
Step into the world of probability, risk, and data analysis with this hands-on AP Statistics Casino Project!
Students become casino designers—creating two original $1 games that balance fairness, risk, and profit while exploring expected value, simulation, and inferential statistics.
They’ll calculate theoretical probabilities, run experiments, build distributions, and perform full inference tests (confidence intervals and hypothesis tests). Each section includes reflection questions with model answers to guide understanding and assessment.
🧠 Learning Objectives
Students will:
- Apply expected value, variance, and standard deviation to real-world games.
- Compare theoretical vs. experimental probabilities using simulation.
- Construct and interpret confidence intervals for proportions and means.
- Conduct hypothesis tests to evaluate fairness and house advantage.
- Demonstrate understanding of Law of Large Numbers and risk scaling.
- Design visually appealing, playable casino games backed by statistical reasoning.
📄 What’s Included
- Step-by-step student instructions for all 10 parts (Design → Inference).
- Detailed reflection questions with model teacher answers.
- Bonus Challenges in every section (simulation coding, histograms, bootstrap resampling, etc.).
- 200-point project rubric aligned with AP Statistics learning goals.
- Ready-to-print format for classroom or digital submission.
💡 Teacher Tips
- Use this as a capstone project for your Probability & Inference units.
- Works beautifully with spreadsheets, Python, or classroom dice/card simulations.
- Excellent for cross-curricular collaboration (Math + Computer Science).
- Encourage students to test, iterate, and justify their casino’s fairness mathematically.
🎯 Bonus Opportunities
- Multi-round or conditional game extensions
- Histogram modeling and normal approximations
- Code-based simulations (Sheets or Python)
- Bootstrap resampling and advanced inference
