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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?
  1. 6/91
  2. 5/91
  3. 4/91
  4. 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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