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A bag contains 5 white balls, 3 black balls, 4 yellow balls. A ball is drawn from the bag, its colour is noted and put back into the bag with 5 additional balls of the same colour. The process is repeated. The probability that a yellow ball is drawn in the 1 s t draw given that a white ball is drawn in the 2 n d draw is

Options

  1. A9 55
  2. B4 17
  3. C1 5
  4. D2 11

Correct answer

B. 4 17

Step-by-step solution

A = A yellow ball is drawn in the 1 s t draw B = A white ball is drawn in the 2 n d draw P A B = P A ∩ B P B = 4 12 × 5 17 5 12 × 10 17 + 3 12 × 5 17 + 4 12 × 5 17 = 4 17

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