Use Bayes' Theorem to Calculate $P ( B \mid A )$

question 183

Short Answer

Use Bayes' Theorem to calculate $P ( B \mid A )$ when $P ( B ) = 0.05$ , $P ( A \mid B ) = 0.5$ , $P \left( A \mid B ^ { \prime } \right) = 0.1$ . Please round the answer to three decimal places.
​ $P ( B \mid A ) =$ __________

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Definitions:

Stated Value Stock

Stated value stock is an issue of shares that does not have a par value but instead has a nominal stated value assigned by the company.

Preferred Stock

A type of equity security that offers dividends and other advantages before common stock, in the event of liquidation.

Common Shareholders

Individuals or entities that own shares of common stock in a corporation, granting them voting rights and a claim on profits.

Organization Expenses

Costs incurred in the creation of a corporation or partnership, such as legal fees and state filing fees, often amortized over time.