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Bayes theorem helps to determine the probability of an event with random knowledge. It is used to calculate the probability of occurring one event while other one already occurred. It is a best method to relate the condition probability and marginal probability.
Bayes' theorem is also known as Bayes' rule, Bayes' law, or Bayesian reasoning, which determines the probability of an event with uncertain knowledge. In probability theory, it relates the conditional probability and marginal probabilities of two random events.
Bayes' Theorem: Bayes' theorem is also known as Bayes' Rule or Bayes' law, which is used to determine the probability of a hypothesis with prior knowledge. It depends on the conditional probability. The formula for Bayes' theorem is given as: Where, P (A|B) is Posterior probability: Probability of hypothesis A on the observed event B.
Bayes Theorem states that the probability of an event A given evidence B is equal to the probability of evidence B given event A, multiplied by the prior probability of event A, divided by the probability of evidence B. In mathematical notation, this can be written as −. P(A | B) = P(B | A) ∗ P(A) / P(B) where −.
Jul 23, 2024 · The Bayes Theorem in AI is perhaps the most fundamental basis for probability and statistics, more popularly known as Bayes' rule or Bayes' law. It allows us to revise our assumptions or the probability that an event will occur, given new information or evidence.
Apr 25, 2023 · The Bayes Theorem is a mathematical formula that helps determine the chance that an event will happen based on our prior knowledge of similar events. Simply said, it helps us revise our hypotheses or opinions about the possibility of an event happening in light of the data or facts we have acquired.
Jul 23, 2024 · The Bayes Theorem in AI is perhaps the most fundamental basis for probability and statistics, more popularly known as Bayes' rule or Bayes' law. It allows us to revise our assumptions or the probability that an event will occur, given new information or evidence.