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In: Statistics and Probability

In a volleyball game between two teams , A and B, the game will be over...

In a volleyball game between two teams , A and B, the game will be over if a team wins two out of three sets. In any set, team A has a 60 percent chance of winning the sets.

  1. Model this game as a Markov chain. Hint: Use (WA, WB) as the states where WA is the number of sets A wins and WB is the number of sets B wins. For example state (1,0) means A won 1 set and B won 0 set. Of course, the game starts with a state of (0,0).
  2. Identify each state of this markov chain.
  3. Compute the expected number of sets before team A can win the game.
  4. Compute the expected number of sets before team B can win the game.
  5. Compute the probability that team A can win the game.
  6. Compute the probability that team B can win the game.

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Expert Solution

orchestra answered 1 year ago
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