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长期以来形成了一种看法,概率论的习题难做。概率论是研究现实世界随机现象的数量规律性的一个新的应用数学分支,其思维方法有独特之处。本文仅就条件概率,探讨它在解题中的应用。 设(Ω,F,P)为概率空间,A、B∈F,P(B)>0。定义P(A|B)=P(AB)/P(B)为在事件B出现的条件下事件A的条件概率。 由概率的基本性质以及条件概率的基本性质,可得概率的乘法公式,全概率公式和贝叶斯
For a long time, a kind of view has been formed. Probability problems are hard to do. Probability theory is a branch of applied mathematics that studies the quantitative regularity of random phenomena in the real world. Its thinking methods are unique. This article only discusses its application in problem solving in terms of conditional probability. Let (Ω, F, P) be the probability space, A, B∈F, P(B)>0. The definition of P(A|B)=P(AB)/P(B) is the conditional probability of event A under the condition that event B occurs. From the basic properties of the probabilities and the basic properties of the conditional probabilities, the multiplicative formulas of the probabilities, the full probability formulas and Bayesian