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?