Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want).

Generally, there is only one event B such that A and B are both mutually exclusive and exhaustive; that event is the complement of A. The complement of an event A is usually …

When one event occurs if and only if the other doesn't take place then such events are called complementary events. Complementary events are mutually exclusive and exhaustive.

Jul 23, 2025 · Complementary events are two mutually exclusive events where the occurrence of one event implies the non-occurrence of the other event, and vice versa. In other words, if …

What are Complementary Events? Two events are complementary if they are mutually exclusive (they cannot both happen at the same time) and their union (the event that either one or the …

An event and its complement are mutually exclusive and exhaustive. This means that in any given experiment, either the event or its complement will happen, but not both.

Understanding probability involves not only calculating the likelihood of an event occurring but also determining the probability that an event will not happen. This concept is known as the …

The complement of an event is the set of all outcomes in a sample space that are not part of that event. It essentially represents everything that could happen, except for the occurrence of the …

The complement of an event 𝐴 (written 𝐴 ) is equivalent to the event 𝐴 not occurring. Any event is mutually exclusive with its complement (i.e., 𝐴 ∩ 𝐴 = ∅ ).

Now let us examine the probability that an event does not happen. As in the previous section, consider the situation of rolling a six-sided die and first compute the probability of rolling a six: …