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AP EAMCET201921 Apr 2019Morning ShiftMathematicsProbabilityActual

There are 3 bags A, B and C . Bag A contains 2 white and 3 black balls, bag B contains 4 white and 2 black balls and Bag C contains 3 white and 2 black balls. If a ball is drawn at random from a randomly chosen bag, then the probability that the ball drawn is black, is

Options

  1. A2 3
  2. B4 9
  3. C5 9
  4. D1 9

Correct answer

B. 4 9

Step-by-step solution

Given that A has 2 white, 3 black balls, B has 4 white and 2 black balls and C has 3 white and 2 black balls. Let event of drawing black ball from bags A, B and C= 1 3 Required probability = Probability of black ball from bag A + Probability of black ball from bag B + Probability of black ball from bag C aligned & = 1 3 3 5 + 1 3 2 6 + 1 3 2 5 = 3 15 + 2 18 + 2 15 & = 1 5 + 1 9 + 2 15 = 9+5+6 45 = 20 45 = 4 9 aligned

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