Question: Markov Chains 3) Markov Chains A team play a series of league games with win, lose, or draw outcomes the successive transition probabilities are independent

Markov Chains

3) Markov Chains A team play a series of league games with win, lose, or draw outcomes the successive transition probabilities are independent and given by: A) On average the team wins 50% of the time, draws 20% of the time, and loses 30% of the time What as probability that it will win 2 games from now? B) Assume the team plays 4 games/month and receives a bonus for winning 3 games in a row in any month Given a win in the last game of the previous month, what is the chance the team will not get a bonus this month

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