Craig and Christina are on a hockey team (team A) playing against a team that includes Oscar and Jamal (team B). There are 3 periods in a hockey game. In each period, there are independent probabilities of 0.6 and 0.5 of teams A and B respectively to score a goal. If team A scores a goal, there is a 0.3 probability that it is Craig that scored the goal, a 0.5 probability that it was Christina that scored the goal, and a 0.2 probability that someone else on the team scored. If team B scores a goal, there is a 0.4 probability that it is Oscar that scored the goal, a 0.2 probability that it was Jamal that scored the goal, and a 0.4 probability that someone else on the team scored. Assume that each team cannot score more than 1 goal in a period and that there is no overtime if the game is tied after 3 periods.

 a) What is the probability that the game ends in a tie? 

b) What is the probability that Christina scores exactly 2 goals in the game? 

c) What is the probability that Craig and Oscar score the same amount of goals