Can a probability be greater than 1 and less than 0?

Answer: No, a probability cannot be greater than 1 or less than 0. Probabilities represent the likelihood of an event occurring and must fall within the range of 0 to 1, inclusive.

In probability theory, the probability of an event is a number between 0 and 1, inclusive.

• A probability of 0 means the event cannot happen.
• A probability of 1 means the event is certain to happen.
• Any probability between 0 and 1 represents the likelihood of the event occurring, with values closer to 1 indicating higher likelihood and values closer to 0 indicating lower likelihood.

If a probability were greater than 1, it would imply that the event is somehow more than certain to occur, which contradicts the definition of probability. Similarly, if a probability were less than 0, it would imply a negative likelihood of the event happening, which is also logically impossible. Therefore, probabilities must always fall within the range of 0 to 1.