**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 Rs 10000 – 13000 per month and owning exactly 2 vehicles.****(ii) earning Rs 16000 or more per month and owning exactly 1 vehicle.****(iii) earning less than Rs 7000 per month and does not own any vehicle.****(iv) earning Rs 13000 – 16000 per month and owning more than 2 vehicles.****(v) owning not more than 1 vehicle.**

**Answer (i)**

Let A be the event that family chosen is earning Rs 10000 – 13000 per month and owning exactly 2 vehicles.

P(A) = (Number of families earning Rs 10000-130000 per month and owning exactly 2 vehicles/ Total number of families)

**Answer (ii)**

Let B be the event that family chosen is earning Rs 16000 or more per month and owning exactly 1 vehicle.

P(B) = (Number of families earning Rs 16000 or more per month and owning exactly 1 vehicle / Total number of families)

**Answer (iii)**

Let C be the event that family chosen is earning less than Rs 7000 per month and does not own any vehicle.

P(C) = (Number of families earning less than Rs 7000 per month and does not own any vehicle / Total number of families)

**Answer (iv)**

Let D be the event that family chosen is earning between Rs 13000-16000 per month and owning more than 2 vehicles.

P(D) = (Number of families earning between Rs 13000-16000 per month and owning more than 2 vehicles / Total number of families)

**Answer (v)**

Let E be the event that family chosen does not own more than 1 vehicle.

P(E) = (Number of families who does not own more than 1 vehicle / Total number of families)