Question

Let E, F, G be three events. Find P{E ∪ F ∪ G} function of P{E},...

Let E, F, G be three events. Find P{E ∪ F ∪ G} function of P{E}, P{F}, P{G}, P{E ∩ F}, P{E ∩ G}, P{F ∩ G}, and P{E ∩ F ∩ G}.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

To find

:

Step 1:

By Addition theorem, we have:

    (1)

Step 2:

Put

in (1), we get:

Step 3:
Thus, we get:

Thus, we get the required relation as follows:

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