An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the following table:

Find the probabilities of the following events for a driver chosen at random from the city:
(i) being 18-29 years of age and having exactly 3 accidents in one year.
(ii) being 30-50 years of age and having one or more accidents in a year.
(iii) having no accidents in one year

Explanation

Here, the total number of drivers, `N = 2000`

From the given table,

Number of drivers who are 18-29 years of age and having exactly 3 accidents, `E_a = 61`

Number of drivers who are 30-50 years of age and having one or more accidents, `E_b = 125+60+22+18 = 225`

Number of drivers having no accidents, `E_c = 440+505+360 = 1305`



(i) Probability of a driver being 18-29 years of age and having exactly 3 accidents,`P(E_a) = E_a/N = 61/2000`



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