The events E, F and G have the following properties:   P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32 P(F)=0.39 P(G)=0.28   P(EUF)=P(EUF)=0.60   P(EUG)=0.45 P(FUG)=0.44P(EUG)=0.45 P(FUG)=0.44   P(E∩F∩G)=P(E∩F∩G)=0.04   Compute the probability that at least one of E,FE,F or GG occur; that is, compute P(EUFUG)P(EUFUG). Use two decimal place accuracy.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 66E
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The events E, F and G have the following properties:

 

P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32 P(F)=0.39 P(G)=0.28

 

P(EUF)=P(EUF)=0.60   P(EUG)=0.45 P(FUG)=0.44P(EUG)=0.45 P(FUG)=0.44

 

P(E∩F∩G)=P(E∩F∩G)=0.04

 

Compute the probability that at least one of E,FE,F or GG occur; that is, compute P(EUFUG)P(EUFUG). Use two decimal place accuracy. 

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