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Question

A bag contains 3 red, 4 white and 5 blue balls (All balls are different). If two balls are drawn at random, then the probability that they are of different colours is:
  1. 4766
  2. 1033
  3. 522
  4. None


Solution

The correct option is A 4766
We have the following pattern:
Ired,whitePI=3×412C2IIred,bluePII=3×512C2IIIblue,whitePIII=4×512C2
Since all these cases are exclusive, so the required probability =(12+15+20)12C2=4766 

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