Question a-c

Your favorite team is in the final playoffs. You assign a probability 60% that it will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 805 of the time. When they lose the championship, they win the first game 30% of the time." (a) Define Events C' = "winning the Championship" and F = " winning the First game". Using the information above, fill out the joint probability table. Show/explain how you obtain each value: F (b) Are events C and F independent? Why or why not? (c) Find the probability that your team wins the Championship or the First game