Definition: Mutual exclusivity

Index: The Book of Statistical Proofs ▷ General Theorems ▷ Probability theory ▷ Probability ▷ Mutual exclusivity

Definition: Generally speaking, random events are mutually exclusive, if they cannot occur together, such that their intersection is equal to the empty set.

More precisely, a set of statements $A_1, \ldots, A_n$ is called mutually exclusive, if

\[\label{eq:exc} p(A_1, \ldots, A_n) = 0\]

where $p(A_1, \ldots, A_n)$ is the joint probability of the statements $A_1, \ldots, A_n$.

 

Sources:

• Wikipedia (2021): "Mutual exclusivity"; in: Wikipedia, the free encyclopedia, retrieved on 2021-07-23; URL: https://en.wikipedia.org/wiki/Mutual_exclusivity#Probability.

Metadata: ID: D156 | shortcut: exc | author: JoramSoch | date: 2021-07-23, 16:32.