Axioms of probability are a set of axioms that govern the interpretation and application of probability theory. These axioms ensure that the probability of an e...
Axioms of probability are a set of axioms that govern the interpretation and application of probability theory. These axioms ensure that the probability of an event is well-defined and consistent with the principles of probability theory.
The axioms of probability are as follows:
Axiom of independence: The probability of an event occurring is independent of the probability of another event occurring. This means that the probability of an event occurring is the same regardless of whether or not another event has already occurred.
Axiom of total probability: The probability of an event occurring is the sum of the probabilities of all possible ways in which that event can occur.
Axiom of probability 0: The probability of an event occurring is 0 if and only if the event is impossible.
Axiom of probability 1: The probability of an event occurring is 1 if and only if the event is certain to occur.
These axioms ensure that the probability of an event can be calculated accurately and consistently. They also ensure that the probability of an event can be applied to a variety of situations, even when the events are not mathematically independent