由容斥原理，p(aubuc)=p(a)+p(b)+p(c)-p(ab)-p(ac)-p(bc)+p(abc)。 ABC在A、B、C中，都包含，在AB、BC、AC中也du都包含。 所以P(A)+P(B)+P(C)中，P（ABC）加了三zhi次。

2015年8月14日 · Event A and B are independent, A and C are mutually exclusive, B and C are independent. Given: $\Pr(A) = 1/2$ $\Pr(B) = 1/4$ $\Pr(C) = 1/8$ Find $P(A \cup B \cup C)$ ? …

The formula for the probability of A union B union C is given by, P(A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C). If the sets A, B, and C are mutually …

2008年10月4日 · So you can say that P(A'^B)=P(A)-P(A^B) and that P(A^B')=P(B)-P(A^B). Substituting....P(AUB)=P(A)-P(A^B)+P(B)-P(A^B)+P(A^B)=P(A)+P(B)-P(A^B)! This is the …

2018年8月7日 · "Prerequisite : "P(AuuB)=P(A)+P(B)-P(AnnB)....(star). P(AuuBuuC)=P(AuuD)," where, "D=BuuC, =P(A)+P(D)-P(AnnD)..........[because, (star)], =P(A)+color(red)(P(BuuC)) …

2020年10月16日 · 加法公式与减法公式： - 加法公式p(a∪b) = p(a) + p(b) - p(a∩b)，当a∩b为空集时，即p(a∩b)=0，则p(a∪b) = p(a) + p(b)。 - 减法 公式 P ( A-B) = P ( A) - P ( A∩B)，当A包 …

For any three events A, B and C, the probability that any one of the events occurs or any two of the events occur or all the three events occur is. P (AuBuC) = P (A) + P (B) + P (C) – P (AnB) - …

若已知A,B,C两两独立，可以得到p (AUBUC)=p (A)+p (B)+p (C)-p (AB)-p (AC)-p (BC)+p (ABC)吗？ 无论是否两两独立，都有你那个式子：p (AUBUC) = p (A) + p (B) + p (C) - p (AB) - p (BC) - …

2018年4月5日 · You can evaluate $P(A \cup B \cup C)$ using the following \begin{align} P(A \cup B \cup C) &= 1-P(A^cB^cC^c) \end{align} and the fact that they are independence. Share

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