A committee of two persons is to be selected from fourteen persons, including four engineers. What is the probability that both selected persons are engineers?
- 6/91
- 5/91
- 4/91
- None of these
Explanation
Total persons = 14
Number of engineers = 4
Number of non-engineers = 14 - 4 = 10
We have to select a committee of 2 persons.
Total number of ways to select 2 persons out of 14 = 14C2
14C2 = (14 x 13) / (2 x 1) = 91
Number of ways to select 2 engineers out of 4 = 4C2
4C2 = (4 x 3) / (2 x 1) = 6
Probability = Favorable outcomes / Total outcomes
Probability = 6 / 91
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