Learning Goal
Find the expected payoff for a game of chance
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**HSS.MD.B.5.a**: Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.
**HSS.MD.B.5**: (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
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HSS.MD.B.5.a: Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.
HSS.MD.B.5: (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
What you'll learn
- Identify the outcomes of a game of chance, their probabilities, and their payoff values
- Build a signed net-payoff distribution for a game, subtracting the cost to play
- Compute the expected payoff per play of a game of chance
- Interpret the expected payoff as an average per-play gain or loss and classify a game as favorable, fair, or unfavorable to the player
- Apply the method to real games of chance, including a state lottery ticket and a promotional (fast-food) game
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Net payoff and simple games
✓ Start hereLottery and promotional games
Practice
Try it on your own