Three Fair Coins Are Tossed and Either Heads or Tails $$\text { Is } P ( A \cup B ) \text { equal to the sum of } P ( A ) \text { and } P ( B ) \text { ? Explain. }$$

question 118

Essay

Three fair coins are tossed and either heads or tails is observed for each coin. Events A and B are defined as follows.
A: {Three heads are observed}.
B: {Exactly two heads are observed}. $$\text { Is } P ( A \cup B ) \text { equal to the sum of } P ( A ) \text { and } P ( B ) \text { ? Explain. }$$

---

Definitions:

Faithfully Representative

A qualitative characteristic of financial information that requires reported data accurately reflect the economic phenomena they represent, ensuring reliability and trustworthiness.

Accounting Information

Financial data and reports that provide insight into a company's financial performance and position, aiding decision-making processes.

Future Events

Occurrences or circumstances that have not yet happened but are anticipated or expected to occur.

Business Transactions

Business transactions are economic events that affect a company's financial position, involving exchanges of value between two parties.