Question
A bag contains 13 white and some black balls. If
the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.Solution
Number of white balls = 13
Let x be the number of black balls.
Total number of balls in the bag = 13 + x
Also, the probability of drawing a black ball from the bag is thrice that of drawing a white ball.
⇒ x/(13 + x) = 3[13/(13 + x)]
⇒ x = 3 × 13 = 39
Hence, the number of black balls in the bag = 39
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