Question

A bag contains 12 balls out of which x are white
If one ball is drawn at random, what is the probability it will be a white ball?
6 more white balls are put in the box. The probability of drawing a white ball will be double than that in
(i). Find x​

Answer 1

Answer:

x = 2 balls.

Step-by-step explanation:

No. of balls in the bag = 12.

No. of white balls in the bag = x.

Thus, probably of getting a white ball = x/12.

If, 6 more white balls are put in the bag, no. of balls in the bag = 12 + 6 = 18.

No. of white balls, now = x + 6.

Probably of getting a white ball = x + 6 / 18.

According to the question, the probability of getting a white ball will double when we add 6 more white balls, i.e.

x + 6 / 18 = 2(x/12)

x + 6 / 18 = x/6

x + 6 = x/6 × 18

x + 6 = 3x

6 = 3x - x

6 = 2x

=> x = 6/3 = 2.

So, the no. of white balls before adding six more = 2 balls.