Final answer:
An event with a probability of 0 is impossible to occur, whereas an event with a probability of 1 is certain to occur. These are extremes on the probability scale, which ranges from 0 to 1.
Step-by-step explanation:
An event with a probability of 0 is an event that is impossible to occur. On the other hand, an event with a probability of 1 is an event that is certain to occur. These concepts are foundational to the study of probability and statistics.
For instance, if we consider the flip of a fair coin, the probability of getting both a head and tail simultaneously is 0, demonstrating that the events are mutually exclusive. Conversely, the probability that the coin will land either as a head or a tail is 1, as one of these two outcomes is certain to happen each time the coin is tossed.
The outcome of an experiment is any possible result that may occur. In the context of probability, each outcome is a part of the sample space, denoted by the uppercase S, and every event has a probability that falls between 0 and 1.