ProbABility multiplication formula is used when ab occurs simultaneously.

When event A can be regarded as a whole divided by B, the full probability formula is used. ..

When the prior and posterior are more complex and accurate, Bayesian formula is used for edge distribution density.

Extended data:

Conditional probability refers to the occurrence probability of event A under the condition that another event B has already occurred. Conditional probability is expressed as: P(A|B), which is read as "the probability of a under the condition of b".

Probability multiplication formula is also called multiplication theorem. An important theorem on product probability of events. If p (a) >; o，P(BWO)

The total probability formula transforms the problem of probability solution of complex event A into the problem of probability summation of simple events in different situations.

Content: If events B 1, B2, B3…Bn form a complete event group, that is, they are incompatible with each other, their sum is a complete set; And P(Bi) is greater than 0, then it exists for any event A..

P(A)= P(A | b 1)P(b 1)+P(A | B2)P(B2)+...+ P(A|Bn)P(Bn).

Bayesian theorem is a theorem about the conditional probability (or marginal probability) of random events A and B, where P(A|B) is the possibility that A occurs when B occurs.

References:

Conditional Probability-Baidu Encyclopedia? Probability multiplication formula-Baidu Encyclopedia? Full probability formula = Baidu Encyclopedia? Bayesian formula-Baidu encyclopedia