Analyze decisions and strategies with probability concepts in applied settings.
Interpret expected value as a long-run average with a stated unit
Problem
Interpret \(-\$0.25~\text{per}~\text{play}\) as a long-run average net result, preserving the loss sign and allowing individual plays to differ.
Big Picture
What this problem is really about
Interpreting expected value requires preserving its sign, quantity, and per-trial unit. We’ll translate the negative net amount into the player’s gain-or-loss direction, connect it to total result divided by many plays, and separate that long-run average from any guaranteed single-play outcome.
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