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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

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.
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 probability that they were playing at home or won the game?

Location Home Away Total Win 10 (52.6%) 8 (42.1%) 18 (47.4%) Outcome of game Loss 4 (21.1%) 1 (5.3%) 5 (13.2%) Draw 5 (26.3%) 10 (52.6%) 15 (39.5%) Total 19 (100%) 19 (100%) 38 (100%)

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