(P(A)=0.38, P(B)=0.26, P(C)=0.14), (P(A) and (B)=0.12, P(A) and (C)=0.03, P(B) and (C)=0.09), (P(A) and (B) and (C)=0.01)...
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\(P(A)=0.38, P(B)=0.26, P(C)=0.14\), \(P(A\) and \(B)=0.12, P(A\) and \(C)=0.03, P(B\) and \(C)=0.09\), \(P(A\) and \(B\) and \(C)=0.01\)
The Addition Rule for the probability that event \(A\) or \(B\) or \(C\) will occur, \(P(A\) or \(B\) or \(C)\), is given by \[ \begin{aligned} P(A \text { or } B \text { or } C)=P(A) & +P(B)+P(C)-P(A \text { and } B)-P(A \text { and } C) \\ & -P(B \text { and } C)+P(A \text { and } B \text { and } C) \end{aligned} \]In the Venn diagram shown at the left, \(P(A\) or \(B\) or \(C)\) is represented by the blue areas. In Exercises 27 and 28, find \(P(A\) or \(B\) or \(C)\).
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