Can Probability be Zero?

Yes, probability can be 0, indicating an event has no chance of occurring.

An example of an event with a probability of 0 is flipping a fair coin and it landing both heads and tails simultaneously, an outcome that is theoretically impossible in the context of standard probability models.

In probability theory, the probability of an event is a numerical measure ranging from 0 to 1, where 0 denotes impossibility, and 1 denotes certainty. When the probability of an event is 0, it means that the event is impossible and will not occur under any circumstances. This situation arises when there are no favorable outcomes for the event among all possible outcomes. In practical terms, a probability of 0 indicates a complete lack of likelihood or occurrence for the specified event, and it is an essential concept in probability theory used to quantify uncertainty and analyze various scenarios in mathematics and statistics.