A bag contains 12 balls of two different colours, out of which x are w

1.	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
Answer» The correct option is: (A) 3 Explanation: If 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

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

Answer»

The correct option is: (A) 3

Explanation:

If 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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