A group consists of 12 persons, of which 3 are extremely patient, othe

1.	A group consists 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 you prefer more.
Answer» Total number of possible outcomes, n(S) = 12 (i) Number of favorable outcomes, n(E) = 3 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{3}{12}\) (ii) Number of favorable outcomes, n(E) = 9 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{9}{12}\) = \(\frac{3}{4}\)

A group consists 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 you prefer more.

Answer»

Total number of possible outcomes, n(S) = 12

(i) Number of favorable outcomes,

n(E) = 3

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{3}{12}\)

(ii) Number of favorable outcomes,

n(E) = 9

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{9}{12}\) = \(\frac{3}{4}\)

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