Question

A bag contains 12 balls out of which X are white if one ball is taken out from the bag find the probability of getting a white ball.If 6 more white balls are added to the bag find the probability now for getting a white ball is twice the previous one,find the value of x.

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Answer 1

Answer:

x = 3

Step-by-step explanation:

Given, Total number of balls = 12.

So, total number of possible outcomes = 12.

Number of white balls = x.

(i)

Out of 12 outcomes, favorable outcomes = x.

P(getting a white ball) = x/12.

(ii)

Given that 6 more white balls are added to the bag.

Total number of white balls = x + 6.

Then, total numbers of balls = 12 + 6 = 18.

P(getting a white ball) = (x + 6)/18.

Now,

Given that probability of getting a white ball is twice the previous one.

⇒ (x + 6)/18 = 2(x/12)

⇒ (x + 6)/18 = x/6

⇒ 6x + 36 = 18x

⇒ 12x = 36

⇒ x = 3.

Therefore, The value of x = 3.

Hope it helps!

Answer 2

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