Question
A bag contains 10 white and some black balls. If
the probability of drawing a black ball from the bag is twice that of drawing a white ball, find the number of black balls in the bag.Solution
Number of white balls = 10
Let x be the number of black balls.
Total number of balls in the bag = 10 + x
Also, the probability of drawing a black ball from the bag is twice that of drawing a white ball.
⇒ x/(10 + x) = 2[10/(10 + x)]
⇒ x = 2 × 10 = 20
Hence, the number of black balls in the bag = 20
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