Math III · S-MD.7

Analyze decisions and strategies using probability concepts in more complex settings.

Analyze decisions and strategies using probability concepts in more complex settings.

Concept Statistics and Probability

Domain Using Probability to Make Decisions

Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find the expected value by multiplying each outcome by its probability and adding

4 variants

Template 2

Choose between options using expected value

4 variants

Template 3

Find the net expected value by weighting outcomes and then including a fixed cost

4 variants

Template 4

Compare expected value and defined downside-risk metrics

4 variants

Template 5

Compare simulated strategies on return, downside, and reliability

4 variants

Template 6

Compare insurance expected cost separately from risk protection

4 variants

Template 7

Update a state probability after new information

4 variants

Template 8

Interpret false positives with base rates

4 variants

Template 9

Use conditional probabilities in an expected-value decision

4 variants

Template 10

Apply explicit downside constraints before optimizing

4 variants