Question

There are 24 balls in the box, x of them are white. When we add 12 white balls, the probability of picking a white ball is doubled. Find the value of x.​

Answer 1

Answer:

Here,

x = 12

Hope it helps

Answer 2

The value of x will come out to be 6.

Given,

The Initial number of balls in the box = 24

The initial number of white balls in the box = x

12 white balls are added again, which doubles the probability of picking up a white ball

To Find,

Value of 'x'

Solution,

The probability for the event of picking up a white ball from the box can be given as -

Probability of picking up a white ball from the box = $\frac{Number of white balls}{Total number of balls}$

Initial Probability = $\frac{x}{24}$

Final Probability = $\frac{x+12}{24+12}$

Final Probability = $\frac{x+12}{36}$

Now according to the question -

$2*\frac{x}{24} = \frac{x+12}{36}$

$\frac{x}{12} = \frac{x+12}{36}$

36x = 12(x + 12)

36x = 12x + 144

36x - 12x = 144

24x = 144

x = $\frac{144}{24}$

x = 6

Hence, we get the value of 'x' as 6.

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