Question

Asked Sep 13, 2019

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Let *E*, *F* and *G* be three events in *S* with *P*(*E*) = 0.4, *P*(*F*) = 0.5, *P*(*G*) = 0.29, *P*(*E* ∩ *F*) = 0.28, *P*(*E* ∩ *G*) = 0.11, *P*(*F* ∩ *G*) = 0.14, and *P*(*E* ∩ *F* ∩ *G*) = 0.06. Find *P*(*E*^{C} ∪ *F*^{C} ∪ *G*^{C}).

Step 1

**Given Data**

*P*(*E*) = 0.4, *P*(*F*) = 0.5,*P*(*G*) = 0.29, *P* (*E* ∩ *F*) = 0.28, *P*(*E* ∩ *G*) = 0.11, *P*(*F* ∩ *G*) = 0.14, and *P*(*E* ∩ *F* ∩ *G*) = 0.06.

**De-Morgan Law** states that

Let E,F and G be three events

Step 2

The required probability is ...

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