Problem preview
S-MD.7 Warmup M2-073-A09-V01

Analyze decisions and strategies with probability concepts in applied settings.

Compute strategy expected values and choose under an explicit criterion

Problem

Compute the play’s signed expected value \(0.50(5)+0.50(-2)\), compare it with declining for \(0\), and follow the stated maximize-EV rule.

Big Picture

What this problem is really about

An action decision under a maximize-expected-value rule begins with signed net outcomes. We’ll weight the gain and loss by their probabilities, add those contributions, model declining as a certain zero, compare the two expected values, and follow the stated rule rather than an unstated risk preference.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-MD.7
Category
Statistics and Probability
Domain
Using Probability to Make Decisions
Objective
Analyze decisions and strategies with probability concepts in applied settings.
Problem type
Compute strategy expected values and choose under an explicit criterion