In a city, of residents live in urban areas ( ) and the rest live in rural areas ( ).…

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

In a city, 55%55\% of residents live in urban areas (UU) and the rest live in rural areas (RR). Let AA be the event that a resident owns a private car. It is known that P(A∣U)=0.40P(A\mid U)=0.40 and that the overall probability a resident owns a car is 0.340.34. (i) Find P(A∣R)P(A\mid R). (ii) Write a short interpretation of the value obtained in part (i).

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