Math Problem Statement

State of Economy Probability (%) Fund Returns (%)

Rapid expansion and recovery 10 100

Modest growth 35 45

Continued recession 40 20

Falls into depression 15 -100

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Expected Value

Formulas

Expected Return = Σ (Probability × Fund Return)

Theorems

Law of Total Probability

Suitable Grade Level

Grades 9-12