Question

A bag contains 12 balls out of which x balls are white. (i) if one ball is drawn at random, what is the probability that it will be a white ball. (ii) if 6 more white balls are put in the bag and if the probability of drawing a white ball will be twice that of in ( i ), then find x.

Answer 1

Heya

Here is your answer

________________

(i) Number of balls = 12

Number of white balls = x

P(white ball) = no. of favorable outcomes/no of total possible outcomes

= x/12----(1)

(ii) If 6 more white balls are put in the bag

Number of total balls = 18

Number of white balls = x+6

P(white balls)= (x+6)/18---(2)

Therefore,

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

(x+6)/18 = x/6

x+6 = 18x/6

x+6 = 3x

6 = 3x-x

6 = 2x

2x = 6

x = 6/2

∴ x = 3

==================

Hope this helped!!!

Happy to help :)

#BeBrainly