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Mathematics

A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is

  1. 15\dfrac{1}{5}

  2. 13\dfrac{1}{3}

  3. 715\dfrac{7}{15}

  4. 815\dfrac{8}{15}

Probability

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Answer

Probability that a ball drawn from the bag at random will be neither red nor black is equal to probability of picking a white ball.

No. of white balls = 5, total balls = 3 + 5 + 7 = 15.

∴ P(neither red nor black ball) = 515=13\dfrac{5}{15} = \dfrac{1}{3}.

Hence, Option 2 is the correct option.

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