In a ball hockey league, 16 teams make the playoffs. There are 4 rounds that team must make it through to win the championship. Round 1 is a best of 3 series Rounds 2 and 3 are a best of 5 series The championship round is a best of 7 series You will be tracking the progress of the Dragons throughout their playoff journey. Draw a tree diagram for how the series could play out On your tree diagram, display the probabilities of the Dragons winning or losing.

1. Things are getting intense in the third round. The Dragons are up against the Pugs, and they have split the first two games (the series is tied 1 - 1). In this series momentum matters. After a win, the chance of winning increases by 10%. After a loss, the chance of winning decreases by 10%. Initially, the Dragons have a 60% chance of winning the next (third) game. Determine the probability that the Dragons win this best of five series. Note that there are only three possible games left to be played.