1.5.2 Axiom of Normalization

This axiom states that the probability of the sample space  is equal to 1.

Let's recall that  represents the set of all possible outcomes in the experiment, and an event represents a subset of that sample space. In the normalization axiom, our event is the sample space itself, so we want to find the probability of "obtaining an outcome from all the possible outcomes of the sample space." As a result, the event encompasses the entire set of the sample space, rather than being limited to a subset of the sample space. It is important to note that an event can still be a proper subset…