Question

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

Answer 1

Answer:

Black obviously black and it will. be drawn by using black

Answer 2

Answer:

x = 3

Step-by-step explanation:

Let the no. of black balls be x

total no. of balls in bag = 12

i) probability of getting a black ball = x/12

ii) according to problem, 6 more black balls are added. So,

the no. of black balls = x + 6

total no. of balls in bag = 12 + 6 = 18

probability of getting a black ball = x + 6 / 18

given :

$2( \frac{x}{12} ) = \frac{x + 6}{18}$

$36x = 12x + 72$

$24x = 72$

$x = 3$

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