Use probabilities to make fair decisions
Start lessonBegins with Fairness and physical devices · Slides
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.6
**HSS.MD.B.6**: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
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HSS.MD.B.6: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).
What you'll learn
- Define a fair decision procedure as one that gives each option or person an equal probability
- Design a fair procedure using a physical device (coin, die, drawing lots) for a given number of choices
- Design a fair procedure using a random number generator, mapping its output to the choices without bias
- Detect and fix unfair procedures, including unequal-probability mappings
- Handle the case where the number of choices does not divide the device's outcomes evenly, using a divisible range or rejection sampling, and verify each choice has probability 1/k
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Fairness and physical devices
✓ Start here2
Random generators and rejection sampling
Practice
Try it on your own
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