In the context of probability, what does "1 - P(A)" represent?

In probability, "1 - P(A)" is a representation of the complement of event A occurring. This means that it calculates the probability of event A not happening. When you have a probability of event A, denoted as P(A), subtracting this value from 1 gives you the likelihood of A not occurring, or in other words, the opposite of A happening.

This concept is essential in probability theory because it allows us to understand the full spectrum of outcomes for an event. If the probability of an event and its complement add up to 1, it reflects the exhaustive nature of outcomes in a sample space. Therefore, "1 - P(A)" effectively quantifies the chance that the event in question does not take place, making it a fundamental rule in probability calculations.