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A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2 boys and 1 girl?

Options

  1. A2 3
  2. B1 4
  3. C3 4
  4. D1 2

Correct answer

D. 1 2

Step-by-step solution

Number of ways of selecting 2 boys out of 2 boys = ^2 C₂=1 . Number of ways of selecting 1 girl out of 2 girls = ^2 C₁=2 . Number of ways of selecting 3 out of 4 persons = ^4 C₃=4 . Required probability = ^2 C₁ ^2 C₂ ^4 C₃ = 2 1 4 = 1 2 .

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