Sports and Leisure
The Boston Bruins play in the Northeast Division of the Eastern Conference in the National Hockey League. For each game played against another team in the Eastern Conference, the division [Atlantic (A), Northeast (N), or Southeast (S)] and the outcome [win (W), loss (L), tie (T), or overtime loss (O)] are recorded. Consider the following events.
E = The opponent is in the Southeast Division.
F = The Bruins win the game.
G = The opponent is in the Northeast or the game is an overtime loss.
H = The Bruins lose and the opponent is from the Atlantic Division.
a. Carefully sketch a tree diagram to illustrate the possible outcomes for this experiment.
b. Find the sample space for this experiment.
c. Find the outcomes in each of the events E, F, G, and H.
d. List the outcomes in E ∪ F, F ∩ G, and H'.
e. List the outcomes in E ∪ H', E ∪ F ∪ G', and F ∪ G'.