Table 1.

Marginal and joint probability distributions for an example system of two dependent coins.

Embedded Image Embedded Image Marginal Distributions for Coin 2
Embedded Image Embedded Image Embedded Image Embedded Image
Embedded Image Embedded Image Embedded Image Embedded Image
Marginal distributions for coin 1 Embedded Image Embedded Image
  • The joint distribution describe the likelihood for each possible combination of the two coins. The marginal distributions describe the likelihood for each coin alone. Marginal distributions can be found by summing across rows or columns of the joint distribution (Eqn. 1).