Question
In a ball hockey league, 16 teams make the playoffs. There are 4 rounds that team must make it through to win the championship. -
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 one is a best of three series
- Round two and three are a best of five series
- The championship round is a best of 7 series
You will be tracking the progress of the Dragons throughout their playoff journey. For each problem: Draw a tree diagram for how the series could play out On your tree diagram, display the probabilities of the Dragons winning or losing (as decimals). Show your calculations when computing probabilities of series outcomes (leave answers as decimals). Summarize the Dragon's chance of winning the series (as a percentage to 2 decimal places).
1) In the first round, they are playing the Unicorns. Since the Dragons were the best team in the league, they play the first and third game (if necessary) at home, where they have an 80% chance of winning. They play the second game on the road, where they have a 60% chance of winning. Determine the probability that the Dragons win this best of three series.
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