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Learning Goal

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Evaluate and compare strategies using expected values

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

HSS.MD.B.5.b

**HSS.MD.B.5.b**: Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident. **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.b: Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.
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

  1. Model each of two or more competing strategies as a payoff or cost distribution
  2. Compute the expected value (expected cost or expected payoff) of each strategy
  3. Compare the strategies and recommend one based on expected value, stating whether lower or higher is better
  4. Perform a sensitivity analysis: recompute the comparison under different reasonable probabilities and find the break-even probability where the recommendation changes
  5. Explain that expected value is the primary criterion while risk tolerance can justify a different choice

Slides

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1

Comparing options and insurance

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2

Sensitivity and risk

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Practice

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