Question:

We roll two dice. If the numbers are different we pay $3. If the numbers are the same we receive as many dollars as the product of the numbers shown on the die. For example, if we roll the number 5 and 5, we receive $25. Find the expected value of this game.

I'm almost positive that I've worked this problem correctly and I came up with

+ 1/36

Could someone confirm (or deny) this please.