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If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is

Options

  1. A22 1 3 11
  2. B5 19
  3. C55 2 3 1 0
  4. D220 1 3 1 2

Correct answer

B. 5 19

Step-by-step solution

B 1 B 2 B 3 12 0 0 11 1 0 10 1 1 10 2 0 9 3 0 9 2 1 8 4 0 8 3 1 8 2 2 7 5 0 7 4 1 7 3 2 6 6 0 6 5 1 6 4 2 6 3 3 5 5 2 5 4 3 4 4 4 Total number of possibilities = 19 . Number of favourable case = 5 Required probability = 5 1 9

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