What is the opposite of mutually exclusive?

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When $A \cap B = \emptyset$, $A$ and $B$ are said to be mutually exclusive.

Is there a term to describe events that must occur together or sets that perfectly overlap? i.e., $P(A, B) = A$, $A \cap B = A$

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1 Answer

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To have $A \cap B = A$ we must have that $A$ is a subset of $B$, and we write $A \subset B$ or $A \subseteq B$ In probability, this will mean than whenever $A$ happens, $B$ also happens.

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