### Instruction: An eight-sided die has its faces numbered from 1 to 8. What is the expected value of the roll of the die?### Response: Well, expected value is the average of all the possible outcomes.
Right. So we need to find the sum of all the possible outcomes and divide it by the number of possible outcomes.
The sum of the outcomes is $1+2+3+4+5+6+7+8=36$.