A group consists of 12 person, of which 3 are extremely patient, other 6are extremely honest and rest extremely kind. A person from the group is selected at random. Assuming that each person who is (i) extremely patient, (ii) extremely kind or honest. Which of the above values you prefer more?
The total number of persons = 12.
The number of persons who are extremely patient = 3.
The number of persons who are extremely honest = 6.
Number of persons who are extremely kind = 12 – 3 – 6 = 3.
(i) Let E be the event of selecting extremely patient person
Numbers of favourable outcomes = 3
∴ P (selecting a person who is extremely patient) = P (E) = 3/12 =1/4
(ii) Let E be the event of selecting extremely kind or honest
Let A be the event of selecting extremely kind person
The numbers of favourable event are 3
P (extremely kind) =P (A)= 3/12
Let B be the event of selecting extremely honest person
The numbers of favourable outcomes = 6
P (extremely honest) = P (B) = 6/12
∴ P (selecting extremely kind and honest) = P (E)= P (A) + P(B) = 9/12 = 3/4
From the three given values, we prefer honesty more.