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An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
Suppose a family is chosen. Find the probability that the family chosen is
(i) earning Rs10000 – 13000 per month and owning exactly 2 vehicles.
(ii) earning Rs16000 or more per month and owning exactly 1 vehicle.
(iii) earning less than Rs7000 per month and does not own any vehicle.
(iv) earning Rs13000 – 16000 per month and owning more than 2 vehicles.
(v) owning not more than 1 vehicle.

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Detailed Solution

(i) Total number of families $n (S) = 2400$

Number of families earning Rs10000 – 13000 per month and owning exactly 2 vehicles $n (A) = 29$

Thus, the required probability $p (A) = \frac{n (A)}{n (S)} = \frac{29}{2400} .$

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