Tree diagram

Section 13.4: Calculated probabilities

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13.4 Outline

  1. Keno games
  2. Independent events
    1. independent
    2. dependent
  3. Probability of an intersection
    1. multiplication property of probability
    2. birthday problem
  4. Probability of a union
    1. addition property of probability
    2. probability of independent events
  5. Drawing with and without replacement
  6. Stochastic processes and tree diagrams
… See the whole entry

Section 12.1: Permutations

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12.1 Outline

  1. Election problem
    1. tree diagram
    2. fundamental counting principle
    3. arrangement
    4. ordered pair/ordered triple
    5. define permutation
    6. notation for permutations
    7. evaluating permutations
  2. Factorial
    1. definition
    2. multiplication property of factorials
    3. count-down property
    4. permutation formula
  3. Distinguishable permutations
    1. indistinguishable items
    2. distinguishable items
    3. formula for distinguishable permutations
… See the whole entry

Reference Topics 9-2

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A historical reference, along with a solution and interesting links for the Konigsberg bridge problem is found at this site: https:

https://www.scientificamerican.com/article/how-the-seven-bridges-of-koenigsberg-spawned-new-math/

This site provides a nice discussion of minimum spanning trees.
http://www.people.vcu.edu/~gasmerom/MAT131/mst.html

This is a nice interactive demonstration of … See the whole entry