What Is the Probability of an Impossible Event?

Answer: Probability of an impossible event is always 0.

The probability of an impossible event is 0, because, by definition, an impossible event cannot occur, making its likelihood nonexistent.

This concept is expressed mathematically as:

P (Impossible Event) = 0

An impossible event has zero chance of happening. It goes against the rules of the situation. In probability, 0 means impossible, while 1 means certain. Understanding impossible events helps us know what can and cannot occur in probability.

Example: Like rolling a six-sided die and getting both an odd and even number at once. That’s impossible, with a probability of 0. In probability, 0 means it can’t happen, while 1 means it’s certain. This concept helps us understand what can and can’t happen in probability.