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MHT CET2009MathematicsProbability

From a group of 8 boys and 3 girls, a commitee of 5 members to be formed. Find the probability that 2 particular girls are included in the committe is

Options

  1. A4 11
  2. B2 11
  3. C6 11
  4. D8 11

Correct answer

B. 2 11

Step-by-step solution

Total number of ways = ⁸ C ₂ ³ C ₃+ ⁸ C ₃ ³ C ₂+ ⁸ C ₄ ³ C ₁+ ⁸ C ₅ ³ C ₀=28 1+56 3+70 3+56 1=462 Number of ways in which 2 particular girls are included 9 3 =84 Required probability = 84 462 = 2 11

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