Sports and Multi-Stage Game Trees Exercise

Sports and Multi-Stage Game Trees

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Sports and Multi-Stage Game Trees

Analyze probabilities in multi-stage sports scenarios and games using tree diagrams.

Questions

  1. MultiChoice

    A team plays 2 games (Win or Loss). How many final outcomes are on the tree diagram?

  2. MultiChoice

    P(Win)=0.6 for each game. What is P(Win game 1 AND Win game 2)?

  3. MultiChoice

    P(Loss)=0.4 for each game. What is P(Loss game 1 AND Loss game 2)?

  4. MultiChoice

    P(Win)=0.6 and P(Loss)=0.4. What is P(Win game 1 AND Lose game 2)?

  5. MultiChoice

    P(Win)=0.6 and P(Loss)=0.4. What is P(winning exactly one of the two games)?

  6. MultiChoice

    P(Win)=0.6 and P(Loss)=0.4. What is P(winning at least one game)?

  7. MultiChoice

    1st Serve In = 0.7. If 1st Serve In, wins point = 0.8. What is P(1st Serve In AND wins point)?

  8. MultiChoice

    1st Serve Out (0.3), 2nd Serve In (0.9), then wins point (0.5). What is P(1st Out, 2nd In, Wins point)?

  9. MultiChoice

    In a sports tree diagram, what does each complete path from start to end represent?

  10. MultiChoice

    A team plays 3 games (Win or Loss). How many final outcome branches are there?

  11. MultiChoice

    If P(Win)=0.5 each game, what is P(winning all 3 games)?

  12. MultiChoice

    If P(Win)=0.5 each game, what is P(winning at least 2 out of 3 games)?