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三、概率加法定理上一节我们在讨论概率定义的过程中给出了概率的两条性质。本节和下节,还要介绍概率的其它重要性质,它们对概率的各种定义都是正确的。限于篇幅,我们只就等可能概型的情形给出它们的证明。性质3 两个互不相容的事件A与B的和的概率,等于事件A与B的概率之和,即P(A+B)=P(A)+P(B)。证明设基本事件的总数为n,A包含m_1个基本事件,B包含m_2个基本事件。由于A与B互不相容,所以A+B包含的基本事件应该是完全不
III. THE PROBABILITY ADDITION THEOREM In the previous section, we gave two properties of probability in discussing the definition of probability. This section and the next section, but also introduces other important properties of probability, their various definitions of probability are correct. Due to space limitations, we give proof of their suitability only for possible scenarios. Property 3 The probability of a sum of two mutually incompatible events A and B equals the sum of the probabilities of events A and B, ie P (A + B) = P (A) + P (B). Prove that the total number of basic events is n, A contains m_1 basic events and B contains m_2 basic events. Because A and B are incompatible, the basic events contained in A + B should be completely no