# Expected value with calculated probabilities

Find expected value based on calculated probabilities.

### Problem

Vlad is playing a dice game with Ulga.
Vlad will roll 2 six-sided dice, and if the sum of the dice is divisible by 3, he will win dollar sign, 6. If the sum is not divisible by 3, he will lose dollar sign, 3.
What is Vlad’s expected value of playing this game?