You and your friend both draw a random number from 1,2,...,10 at the same time and independently of each other. This procedure is repeated until you have drawn one of the four numbers 1,...,4 or your friend has drawn one of the six numbers 5,...,10. The first player to get one of his marked numbers is the winner with the convention that you are the winner if a tie occurs. (a)(6 points) What is your probability of winning the game? (b)(6 points) What is the probability mass function of the length of the game? (c)(6 points) What is the expected value of the length of the game round (until one of you wins the round)?