Theorem 3-7. For n events A, Az, ..., Ag, we have P(U a) = E P(A.) – EE P(A, n A) + EE P(A;nA;nAd) i-1 1sicisn Isiej

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Prove the theorem

Theorem 3-7. For n events A,, Az, ..., An, we have
P(u ) = £ P(A.) - EE P(A, n A,) + EEE P(A,nA,n
i - 1
1sicjsm
Isi<j<ksu
+ (-1)" -1 P (A, NAn...0.u)
. (3-14)
...
Transcribed Image Text:Theorem 3-7. For n events A,, Az, ..., An, we have P(u ) = £ P(A.) - EE P(A, n A,) + EEE P(A,nA,n i - 1 1sicjsm Isi<j<ksu + (-1)" -1 P (A, NAn...0.u) . (3-14) ...
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