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:

Prejudgment Remedy

A legal measure obtained before a court's final decision to secure assets or interests, ensuring satisfaction of a potential judgment.

Debtor

An individual or entity that owes money or has a financial obligation to another party, known as the creditor.

Mortgage

A written instrument that gives a creditor (the mortgagee) an interest in, or lien on, the debtor’s (mortgagor’s) real property as security for a debt. If the debt is not paid, the property can be sold by the creditor and the proceeds used to pay the debt.

Creditor

An individual, institution, or entity that lends money or extends credit, expecting to be repaid.