Analyze decisions and strategies using probability concepts in more complex settings.
Find the expected value by multiplying each outcome by its probability and adding
Problem
What is the expected value of this decision: receive \(\$50\) with probability \(0.1\), \(\$5\) with probability \(0.4\), and \(\$0\) with probability \(0.5\)?
Big Picture
What this problem is really about
Expected value weights every possible monetary outcome by its probability. We’ll multiply fifty, five, and zero dollars by their attached chances, add all contributions, and retain dollars as the unit. The resulting mean describes long-run average receipts across many comparable repetitions, even though no individual trial necessarily pays that exact amount.
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