A friend offers to play a game, in which you roll 3 standard 6-sided dice. If all the dice roll different values, you give him $1. If any two dice match values, you get $2. What is the expected value of this game? Would you play?

I don't understand why I'm getting this answer wrong. I will explain my logic and hopefully you can help me. The first roll of the die is irrelevant. The second roll of the die gives us a 1/6 chance of repeating our first roll. Should we fail on the second roll, the third roll gives us a 2/6 chance of succeeding. How do I do the math from here? Is it 2/36? Where am I going wrong