A certain sports team is the favourite to win the championship at the beginning of the season. They have been favoured to win the championship with a 55% chance at the start of the season. However, they have actually only won the championship 20% of the time they were favoured to win. When they have not been favoured to win at the start of the season, they have won the championship 7.5% of the time. a. Construct a probability tree for this situation and use it to solve the following questions. b. If a season in the league's history is randomly selected, what is the probability that the team was the favourite at the start of the season and actually won the championship? = Round to 3 decimal places c. What is the probability that, in a randomly selected season, the team won the championship and had not been the favourite? = Round to 3 decimal places

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