A group of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient,(ii) extremely kind or honest. Which of the above values you prefer more?

Answer

`(i) 1/4 (ii) 3/4`

Explanation

Total number of persons in the group = 12.
(i) Number of persons who are extremely patient = 3.
P(selecting a person who is extremely patient) =` 3/12 = 1/4`.
(ii) Number of persons who are extremely honest = 6.
Number of persons who are extremely kind = 12 - (3+6) = 3.
`: .` P(selecting a person who is extremely kind or extremely honest) ` = (3+6)/12 = 9/12 = 3/4`.
From the given three values, we perfer honesty. Honesty can get rid of rampant corruption which is a burning issue of the present society.