Analyze decisions and strategies with probability concepts in applied settings.
Classify a game as fair, favorable, or unfavorable using expected value
Problem
Is this game fair, favorable, or unfavorable by expected value? net outcomes \(+\$4\) with probability \(1/3\) and \(-\$2\) with probability \(2/3\)
Big Picture
What this problem is really about
Game classification comes from comparing the expected net result with zero. We’ll keep gain and loss signs attached, verify the outcome probabilities total one, compute each probability-weighted contribution, add them, and use the result’s relation to zero for the classification.
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