Question

Asked Sep 11, 2019

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Let *E*, *F* and *G* be three events in *S* with *P*(*E*) = 0.58, *P*(*F*) = 0.34, *P*(*G*) = 0.33, *P*(*E* ∩ *F*) = 0.2, *P*(*E* ∩ *G*) = 0.22, *P*(*F* ∩ *G*) = 0.12, and *P*(*E* ∩ *F* ∩ *G*) = 0.07. Find *P*(*E*^{C} ∩ *F* ∩ *G*), *P*(*E* ∩ *F*^{C} ∩ *G*), and *P*(*E* ∩ *F* ∩ *G*^{C}).

Step 1

Consider E, F and G be three independent events in sample space, S.

Step 2

The complements of events E, F and G can be obtained as:

Step 3

The required probability c...

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