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:

Equilibrium Price

The price at which the quantity of a product offered by sellers equals the quantity of the product that buyers are willing to purchase, without any surplus or shortage in the market.

Equilibrium Quantity

The amount of products or services that are both provided and sought after at the balance price, where the supply meets the demand.

Rent Controls

Government-imposed rules that limit the amount landlords can charge for renting out their property, aiming to keep housing affordable.

Diagram

A simplified drawing showing the appearance, structure, or workings of something; often used in planning or explaining.