Could you help me find out the steps and solutions? Thanks a lot.

Question 3 You are going to play 2 games of chess with an opponent whom you have never played against before (for the sake of this problem). Your opponent is equally likely to be a beginner, intermediate, or a master. Depending on which, your chances of winning an individual game are 90%, 50%, or 30%, respectively. 1. (3 points) What is your probability of winning the first game? 2. (3 points) Congratulations: you won the first game! Given this information, what is the proba- bility that you will also win the second game (assume that, given the skill level of your opponent, the outcomes of the games are independent)