Question
Asked Sep 24, 2019
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Assume that Pr[E]=0.65Pr[E]=0.65, Pr[F]=0.35Pr[F]=0.35, Pr[G]=0.6Pr[G]=0.6, Pr[E∩F]=0.15Pr[E∩F]=0.15, Pr[E∩G]=0.35Pr[E∩G]=0.35, Pr[F∩G]=0.25Pr[F∩G]=0.25, and Pr[E∩F∩G]=0.1;Pr[E∩F∩G]=0.1;. Find the following probabilities:

(1) Pr[E′∩F′∩G]=Pr[E′∩F′∩G]= 
(2) Pr[E∪F∪G]=Pr[E∪F∪G]=

 

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Step 1

Given:

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Pr E 0.65 Pr[F0.35 Pr[G 0.6 Pr[EnF 0.15 Pr[EnG 0.35 Pr FnG0.25 Pr[EnFnG0.1

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Step 2

(1)

The probability of E′∩F′...

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Pr[EnFnGPr[G- Pr[EnG-Pr[FGl+Pr[En FoG 0.6-0.35 - 0.25+0.1 =0.6-0.35 - 0.25 0.1 =0.1

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