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A fair 6-sided die is rolled once. If I roll $n$, then I win $6-n$ dollars. What is the expected value of my win, in dollars?

 Feb 20, 2022
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The expected value is the average of all the possibilities:

 

You can win 0, 1, 2 ,3, 4, or 5 dollars, so the expected is \(\color{brown}\boxed{15\over6}\)

 Feb 20, 2022

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