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A box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability that all three are of the same colour?

Options

  1. A1 6
  2. B1 36
  3. C1 12
  4. D5 12

Correct answer

A. 1 6

Step-by-step solution

To get all 3 balls of same colour, ball drawn must be either yellow or white with replacement. Required probability aligned & = 2 12 2 12 2 12 + 4 12 4 12 4 12 + 6 12 6 12 6 12 & = 8 1728 + 64 1728 + 216 1728 = 288 1728 = 1 6 aligned

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