Verify the following extension of the addition rule (a) by

Chapter , Problem 6

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QUESTION:

Verify the following extension of the addition rule (a) by an appropriate Venn diagram and (b) by a formal argument using the axioms of probability and the propositions in this chapter.

\(P(A \cup B \cup C)=P(A)+P(B)+P(C)-P(A \cap B) -P(A \cap C)-P(B \cap C)+P(A \cap B \cap C)\)

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QUESTION:

Verify the following extension of the addition rule (a) by an appropriate Venn diagram and (b) by a formal argument using the axioms of probability and the propositions in this chapter.

\(P(A \cup B \cup C)=P(A)+P(B)+P(C)-P(A \cap B) -P(A \cap C)-P(B \cap C)+P(A \cap B \cap C)\)

ANSWER:

Step 1 of 3

Given:

Three events are given.

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