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Mathematics

There are 3 yellow, 5 white and 7 green balls in a bag. A ball is drawn from the bag at random. The probability that the ball drawn is not white, is:

  1. (13)\Big(\dfrac{1}{3}\Big)

  2. (23)\Big(\dfrac{2}{3}\Big)

  3. (35)\Big(\dfrac{3}{5}\Big)

  4. (12)\Big(\dfrac{1}{2}\Big)

Probability

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Answer

Total number of outcomes = 3 yellow + 5 white + 7 green balls = 15

Let E be the event of not getting white balls.

The number of favorable outcomes to the event E = 3 yellow balls + 7 green balls = 10

∴ P(E) = Number of favorable outcomesTotal number of outcomes=1015=23\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{10}{15} = \dfrac{2}{3}

Hence, option 2 is the correct option.

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