### Instruction: What is the expected value of the roll of a standard 6-sided die?### Response: So we want to find the expected value of the roll of a standard 6-sided die.
Right. Let's call the expected value $x$.
Ok. So we know that the expected value of the roll of a die is equal to the sum of the product of the probability of each outcome and the value of that outcome.
So we have $x=1/6*1+1/6*2+1/6*3+1/6*4+1/6*5+1/6*6$.
And that simplifies to $x=21/6$.
Which is $x=7/2$.