带强制必然事件条件因子的全概率公式及其应用

Total Probability Formula with the Enforcement Sure Event Conditional Factors and Its Application

对概率论中的全概率公式进行了有价值的拓展,提出并证明了带强制必然事件条件因子的全概率公式.基于该公式,对一直困扰人们,涉及强制必然事件随机问题的概率计算,给出了简单有效的计算方法.最后实例说明了其应用的广泛性.

In this article,the total probability formula with the enforcement sure event conditional factors was given and proved,which is worth expanding for total probability formula of probability theory.Furthermore,base on the total probability formula with the enforcement sure event conditional factors,a simple but efficient method is proposed to calculate probability of random problem about enforcement sure event.Finally,the case shows clearly that this method applies widely.