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?[CBSE 2013]
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.
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