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A bag contains 12 balls of two different colours, out of which x are white. One ball is drawn at random. If 6 more white balls are put in the bag, the probability of drawing a white ball now will be double to that of the previous probability of drawing a white ball. Then, the value of x is _____.
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A bag contains 12 balls of two different colours, out of which x are w...
It is given that, total number of balls = 12
Number of white balls = x
∴ Probability of getting a white ball = x/12
Now, 6 white balls are added.
Total number of balls = 12 + 6 = 18
Number of white balls = x + 6
Probability of getting a white ball
= x + 6 / 18
According to the question,
x + 6 / 18 = 2 x x/12
⇒ x + 6 - 3x ⇒ x - 3
Number of white balls = 3
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A bag contains 12 balls of two different colours, out of which x are white. One ball is drawn at random. If 6 more white balls are put in the bag, the probability of drawing a white ball now will be double to that of the previous probability of drawing a white ball. Then, the value of x is _____.a)3b)4c)5d)6Correct answer is option 'A'. Can you explain this answer?
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