Unit 4: Probability

• Where does order not matter?

  Combinations
• Where does order matter?

  Permutations
• What is the formula for permutations?

  N!/(n-r)!
• What is the formula for combinations?


  N!/(n-r)! x r!
• A union of sets A and B means that?

  The elements belong to either sets A or B.
• An intersection of sets A and B means that?


  The elements belong to sets A and B.
• What is an experiment?

  A process by which an outcome is obtained.
• What is the sample space (S)?

  A set that is composed of a finite number of possible outcomes.
• What is an event (E)?

  Any subset of the sample space.
• What is the probability?

  A number between 0-1 which indicates the likelihood the event will occur.
• What is the definition of permutations with repetition?


  The number of distinguishable permutations of n objects where one object is repeated q1 times, another q2 times, etc
• What is the definition of permutations?


  Determines the number of ways n elements (objects) can be arranged in order r ways
• What is the fundamental counting principle?


  If one event can occur in m ways and another event can occur in n ways, then the number of ways that both events can occur is equal to m x n
• What is the definition of probability?

  The numerical measure for the likelihood of an event occurring.
• What is the definition of statistics?

  A collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions from the data.
• What does or mean in terms of unions and intersections?

  Union
• What does and mean in terms of unions and intersections?

  Intersection