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MHT CET20249 May 2024Morning ShiftMathematicsProbabilityActual

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability, that the three balls have different colours, is

Options

  1. A1 3
  2. B2 7
  3. C1 21
  4. D2 23

Correct answer

B. 2 7

Step-by-step solution

aligned Required probability & = ^3 C ₁ ^4 C ₁ ^2 C ₁ ^9 C ₃ & = 3 4 2 ( 9! 3!6! ) = 24 6 9 8 7 = 2 7 aligned

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