Axioms and Two Useful Theorems of Discrete Probability Functions

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Subsequent Articles on Discrete Probability Distributions

This discussion of discrete probability functions lays to the foundation for discussing discrete probability distributions. These describe the “distribution”, or spread, of probabilities.

Subsequent articles examine several commonly used discrete distributions, including:

  • The discrete uniform distribution, which most people would expect to find
  • The Bernoulli distribution for binary results, such as tossing a coin
  • The binomial distribution, where one counts the results of multiple Bournoulli trials
  • The hypergeometric distribution which is similar to the binomial, but with subtle differences
  • The negative binomial distribution
  • The Poisson distribution
  • The geometric distribution, which may be described as the only discrete distribution without a “memory”

The above list should become links as the articles are added to this site.

The probability of getting a royal flush in poker is low. Photo by Images_of_Money

Resources:

DeTurck, D. Math 480 Course Notes, Crash Course on Probability. University of Pennsylvania. (1996). Accessed Dec. 20, 2011.

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