Question
Consider a Stanley Cup playoff series (best of seven) where the Toronto Maple Leafs are playing against the PittsburghPenguins for the cup. -Toronto hosts
Consider a Stanley Cup playoff series (best of seven) where the Toronto Maple Leafs are playing against the PittsburghPenguins for the cup.
-Toronto hosts the first, second and, if needed, fifth and seventh games of the series
-The Leafs have a 75% chance of beating the Penguins at home in the first game.
After that:
-They have a 65% chance of winning home games following a win.
-They have a 80% chance of winning home games when bouncing back from a loss.
-They have a 35% chance of winning in Pittsburgh after a win.
-They have a 55% chance of winning in Pittsburgh after a loss.
On a page construct a tree diagram to illustrate ALL possible outcomes.
Then, answer the following:
What is the probability that the Leafs win in exactly five games?
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