Axioms of Probability and Counting Methods

Questions

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• Question 1 of 9 · Core

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  Award Placements

  Nine finalists can receive first, second, and third place, with no ties. How many different award outcomes are possible?

• Question 2 of 9 · Core

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  Book Set Selection

  A shelf has 10 distinct books and a reader selects 4 to borrow. How many different sets of books can be selected?

• Question 3 of 9 · Core

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  Bus or Rail Event

  For two commuter events A and B, P(A) = 0.51, P(B) = 0.34, and P(A intersection B) = 0.16. What is P(A union B)?

• Question 4 of 9 · Core

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  Calendar or Reminder

  For events A and B, P(A) = 0.45, P(B) = 0.38, and P(A intersection B) = 0.20. What is P(A union B)?

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  Disjoint Check Outcomes

  Two events A and B are disjoint, with P(A) = 0.27 and P(B) = 0.31. What is P(A union B)?

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  Ordered Presentations

  Seven students volunteer to give the first three presentations. No student presents twice. How many ordered choices for first, second, and third presenter are possible?

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  Photo Row Arrangement

  Six distinct posters are arranged in a row. How many different arrangements are possible?

• Question 8 of 9 · Stretch

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  Coordinator and Assistants

  From 8 volunteers, choose one coordinator and then choose 2 assistants from the remaining volunteers. How many teams with these roles are possible?

• Question 9 of 9 · Stretch

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  Lead and Reviewers

  From 7 editors, choose one lead editor and then choose 3 reviewers from the remaining editors. How many teams with these roles are possible?