英语翻译5.\x05P(A) = 0.35 ,P(B) = 0.46 ,P(A U B) = 0.65P (C) = 0

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英语翻译
5.\x05P(A) = 0.35 ,P(B) = 0.46 ,P(A U B) = 0.65
P (C) = 0.42 ,P(A n C) = 0.12 ,P(B n C) = 0.1
Calculate :
a) P(A/B) = e) P(A U B) / B’) =
b) P(B/A) = f) P (A U B) / A’) =
c)\x05P (A/C) = g) P (B/ (B n C)) =
d)\x05P (B/C) = h) P (B’/A’) =
6.\x05Two six-sided dice numbered 1 to 6 ,one green and the other red ,are rolled and the number on the top face of each is then observed.
-\x05What is the probability that the following will be obtained :
a)\x056 on the green die given that the number obtained on the red die is 4
b)\x056 on the green die
c)\x053 on the red die given that the number obtained on the green die is 2
d)\x053 on the red die
Why are the probability in a) b) and those in c) d) identical

第五题,首先给条公式先：P(A U B)=P(A) + P(B) -P(A nB)
所以P(A nB)=0.16,a) P(A/B)=P(A nB)/P(B)=0.3478 b) P(B/A) =P(A nB)/P(A)=0.4571
c)P (A/C) = P(A n C) /P (C)=0.2857 d)\x05P (B/C) = P(B n C) /P (C) =0.2381

P(A) U P(B) U P(C) U P(D) U P(E) U P(F)=求推倒公式^^thanks p(A+B+C)=P(A)+P(B)+P(C)-P(AB)-P(AC)-P(BC)+P(ABC)具体的概率证明过程证明公式:p(A+B+C)=P(A)+P(B)+P(C)+P(AB)-P(AC)+P(BC)+P(ABC) 怎么证明概率问题P(A∪B∪C)=P(A)+P(B)+P(C)-P(AB)-P(BC)-P(AC)+P(ABC) P(A|B) = P(AB)/P(B)如何解释? P(B-A)=P(B)-P(AB)怎么证明? 概率P（AB）=P(A)+P(B)还是P（A）P（B）? 在海伦—秦九韶公式中：S=√[p(p-a)(p-b)(p-c)] 如何证明P(AB)=P(A)-P(A-B) 概率题,P(A∪B)=P(A)+P(B)-P(A∩B), P(A)=P(B)P(A|B)+P(B^2)P(A|B^2)是什么公式对任意的事件A,B,C,证明:P(AB)+P(AC)+P(BC)>=P(A)+P(B)+P(C)-1