What is disjoint in statistics?

In statistics, two sets are said to be disjoint if they have no elements in common. This means that there is no overlap between the two sets, and they are completely separate from each other.

Disjoint sets are often used in probability theory to describe events that cannot occur simultaneously. For example, if event A and event B are disjoint, it means that both events cannot happen at the same time.

Disjoint sets are also used in set theory, where they are represented by circles that do not overlap on a Venn diagram. This diagram visually shows the relationship between different sets and helps to illustrate the concept of disjoint sets.