Purpose:

The student will learn the probability necessary to analyze a lottery and determine probability of winning, expected value of a single entry, and the mechanics of setting up a lottery as a fair game.

Content Overview:

  • Basic Definition of Probability
  • Permutations and Combinations
  • Lottery Probabilities
  • Mathematical Expectation
  • Definition of a Fair Game
  • Objectives:

  • Simple Probability Calculations
  • Evaluating Combinations
  • Lottery Probability Calculations
  • Determination of Expected Value
  • Analysis of a Fair Game
  • Design a Lottery to Meet Specifications
  •  

    Standards: Exceedingly High

    Prior Knowledge:

    The student should be at the Algebra II level or above.

    Time Frame:

  • Day 1: Simple Probability
  • Day 2: Permutations
  • Day 3: Combinations
  • Day 4: Lottery Probability
  • Day 5: Mathematical Expectation & Fair Games
  • Day 6: Lottery Design Project
  • Materials:

  • Pencil and Paper
  • Textbook
  • Graphing Calculator
  • Internet Access
  • These pages were made through TeacherTECH, the teacher professional development component of GirlTECH, which is sponsored by the Center for Excellence and Equity in Education (CEEE) with support from the National Science Foundation through EOT-PACI.

    Copyright © June 2001 by Jim Stones.