computing probabilities by counting

(2 hours to learn)


Sometimes probability calculations involve large numbers of outcomes with equal probabilities. In this case, we can compute probabilities by counting the number of outcomes, using formulas for permutations and combinations.


This concept has the prerequisites:


  • Be able to compute probabilities of events using the formulas for the numbers of permutations and combinations.

Core resources (read/watch one of the following)


Khan Academy: Probability and Statistics
Sets, Counting, and Probability
Online lectures on basic probability theory.
  • Lecture "Probability by counting and inclusion-exclusion"
  • Lecture "Principles of counting"
BerkeleyX: Introduction to Statistics: Probability
An online course on basic probability.
  • Lecture 1.3, "Multiplication rule,"
  • Lecture 1.4, "Problem-solving techniques"


See also

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