9. You are going to play 2 games of chess with an opponent whom you have never played against before. 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. (a) What is your probability of winning the first game? (b) Given the information that you won the first game, what is the probability that you will also win the second game (assume that,given the skill level of your opponent, the outcomes of the two games are independent each other)