### Instruction: 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?### Response: So, if I roll 1, then I win 5 dollars.
And if you roll 2, then you win 4 dollars.
Right. And if I roll 3, then I win 3 dollars.
If you roll 4, then you win 2 dollars.
If I roll 5, then I win 1 dollar.
And if you roll 6, then you win 0 dollars.