(a) Write a counterpart of (2.5.4) for three events. (Advice: Start with P(A B C)=...

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(a) Write a counterpart of (2.5.4) for three events. (Advice: Start with P(A ∪ B ∪ C)= P((A ∪ B) ∪ C), and use (2.5.4).) 

(b) Prove (2.5.6) by induction.P(AUB)=P(A) + P(B) - P(AB). (2.5.4)

P(V=14;) = (;)   P(An An) + ... + (-1)*1 P(AAAix) = - i=1 i

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