5. The Manchester United football (soccer) team is a perennial power in the English Premier League. Their 2017 season was a little unusual because they had 15 draws (ties) in their 38
matches. The two-way table summarizes the association between location and outcome.
Suppose we select one game at random.
Location
Home
Away
Total
Outcome
Win
10
8
18
of game
Loss
4
1
5
Draw
5
10
15
Total
19
19
38
(a) What is the probability that they won the game?
(b) What is the probability that they didn't win the game?
(c) What is the probability that they were playing at home and won the game?
(d) What is the pro that they were playing at home or won the game?