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A bag contains 12 balls out …

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A bag contains 12 balls out of which x are white.If one ball is taken out from the bag.Find the probability of getting a white ball.If 6 more balls are added to the bag and the probability now for getting a white ball is twice the previous one ,find the value of x.

    • Posted by Anchal Gupta 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    1. Total number of balls = 12
      Total number of white balls = x
      ∴ P (getting a white ball) = {tex}\frac{x}{12}{/tex}
    2. 6 more white balls are put in the bag
      ∴ total number of balls = 18
      Total number of white balls = x + 6
      ∴ P (getting a white ball) = {tex}\frac{x+6}{18}{/tex}  
      But, according to the question= {tex}2\times \frac{x}{12}=\frac{x+6}{18}{/tex}   
      ⇒ {tex}x=\frac{x+6}{3}{/tex}
      ⇒ 3x = x+6, 2x=6
      ⇒x = 3

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