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AP EAMCET2003MathematicsProbability

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then, the probability for the ball chosen be white, is :

Options

  1. A2 15
  2. B7 15
  3. C8 15
  4. D14 15

Correct answer

C. 8 15

Step-by-step solution

Probability of selecting a white ball from X bag = 2 5 Probability of selecting a white ball from Y bag = 4 6 = 2 3 Probability of selecting a white ball from X or Y bags = 2 5 + 2 3 = 6+10 15 = 16 15 Probability of selecting the white ball from one of the bags = 1 2 16 15 = 8 15

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