Final answer:
The complement of a set is the set of all elements in the universal set that are not in the given set. It can be found by subtracting the probability of the event from 1. The complement represents the outcomes that are not part of the given set.
Step-by-step explanation:
The complement of a set is the set of all elements in the universal set that are not in the given set. It is denoted by A'. For example, let's say we have a universal set U = {1, 2, 3, 4, 5, 6} and a set A = {1, 2, 3, 4}. The complement of A would be A' = {5, 6}.
The complement represents all the outcomes that are not part of the given set. For instance, if the set A represents the event of rolling an even number on a fair die, then the complement of A would represent the event of rolling an odd number.
The probability of the complement of an event can be found using the formula P(A') = 1 - P(A). If we know the probability of event A, we can subtract it from 1 to find the probability of the complement.