the Law of Total Probability
Q.1: What is the use of total probability?
Answer:
Law of total probability is used to calculate the probability of an event given any number of related events. Using Baye’s Theorem to update the probability of a hypothesis given new evidence.
Q.2: Is total probability always 1?
Answer:
The sum of the probabilities of all the events is always 1.
Q.3: Can the total probability be greater than 1 ?
Answer:
No, the total probability can not be greater than 1.
Mathematics – Law of Total Probability
The law of total probability is important to find the probability of an event happening. If the probability of an event is going to happen is known to be 1, then for an impossible event it is likely to be 0. A fundamental rule in the theory of probability that is interconnected to marginal probability and conditional probability is called the law of total probability, or the total probability theorem.
After several events, it is known that the probability of all the possibilities should be known. The theorem of total probability is the core foundation of Baye’s theorem. In this article, we have discussed important concepts related to total probability, including the law of total probability, statements, proofs, and some examples.