Let $A , B$ , And $C$ Be Events in a Sample Space

question 11

Essay

Let $A , B$ , and $C$ be events in a sample space $S$ such that $S = A \cup B \cup C$ . Suppose that $P ( A ) = 0.3 , P ( B ) = 0.6$ , and $P ( A \cap B ) = 0.2$ . Find each of the following.
(a) $P ( A \cup B )$
(b) $P ( C )$
(c) $P \left( A ^ { c } \cup B ^ { c } \right)$

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Definitions:

Subalternate

In logic, a term referring to a proposition that is inferred immediately from another more general proposition.

Proposition

A statement that can either be true or false, expressing a complete thought or judgement.

Contradictory

Refers to statements that cannot both be true at the same time because they express opposite assertions.

Real Estate Deals

Transactions or agreements made in the context of buying, selling, or leasing property.