please help with steps

Your dodgeball team has reached the championship game. You start the game with an equal number of play- ers. One of your team members will throw a ball at an opponent, with probability p, they hit an opponent and your Opponents lose a teammate. With probability q, your oponents catch that ball: you lose a teammate and they gain a teammate. With probability 1 p q, the opponent dodges and nothing changes. You then resume with a team member throwing a ball, according to the same rules. These throws are all independent of each other and the number of teammates on each team. This continues un- til: Your team has at least two more players than your opponents team. At that point you change to your patented telescoping-triple-team strategy, which guarantees you will win. Or, your opponents have at least two more players than your team. At that point, your opponents execute the dangerous-double-double-team play, which guarantees they will win. Let :1: be the probability that your team wins, starting from equal number of players, y be the probability that your team wins, starting with one more player, and z be the probabiilty that your team wins, starting with one fewer player. (a) Write a system of equations, involving variables at, y, z and (unknown) constants p, q that would let you find as, y, 2 if you knew p, (1. (b) Suppose p = 1/ 2, q = 1 / 3. What are the values of :5, y, 2? (You do not have to show work for this part, using wolfram alpha or another computer algebra system is ne)