In a certain die-rolling game, each time you play you roll a pair of fair dice, and if the sum equals 8, you win.

On a single roll of the dice, there is a 5/36 probability of having the sum equal 8.

If you play the game 3 times, what is your expected number of wins?

[Hint: You can think in terms of an ideal data set for the experiment of playing 3 times, but here it is easier to work with the weighted average approach to computing expected value.]