If event A and event B cannot occur at the same time, then A and B are said to be mutually exclusive.
Mutually exclusive events are defined as situations where the occurrence of one event means that the other event cannot occur. For example, when flipping a coin, the outcomes of getting heads and getting tails are mutually exclusive; you cannot get both heads and tails in a single flip.
This concept is important in probability theory, as it helps in calculating the likelihood of various outcomes. If two events are mutually exclusive, the probability of either event occurring is the sum of their individual probabilities. Understanding this concept allows us to analyze situations more accurately and make better predictions based on statistical logic.