A compound event is an event that is a combination of two or more events. Below is an example.
A randomly chosen number is
odd_(first event)
and
not prime^(second event).
Compound events can be illustrated using a Venn diagram.
In the diagram below, the shaded region illustrates the event that a randomly chosen number is odd and not prime.
In the diagram below, the shaded region illustrates the event that a basketball player scored 2-point field goals and 1-point free throws but did not score any 3-point field goals during a game.