### Solution Found!

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

**Chapter , Problem 6**

(choose chapter or problem)

**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.

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

### Questions & Answers

**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.