Question

A bag contains 18 balls out of which X balls are red If 1ball is drawn at random from the bag what is the probability that it is not red? if 2 more balls are added to in the bag then probability drawing a red ball is 9/8 times the probability of drawing a red ball find the value of 'x'

Answer 1

Answer:

x = 8

Step-by-step explanation:

Total No . of Obs = 18

No . of Red Balls = x

Probability of Red Ball = Favourable Obs / Total No. of Obs

P(of Red Ball) = x/18

Two Red Balls Are Added

So,

No . of Red Balls = x + 2

Total no .of Balls = 18 + 2 = 20

P(of red Ball) = x + 2 / 20

P given 9 times of P obtained in A

9/8 * x/18 = (x + 2)/20

x / 16 = (x + 2)/20

(x / 16) *  20 = x + 2

5x / 4 = x + 2

5x = 4x + 8

5x - 4x = 8

x = 8

Therefore,

Initial No.Of Red Balls = 8

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