Question

A bag contains 20 balls out of which x balls
are white. If one ball is drawn at random,
the probability of drawing a white ball is y.
Now, place this ball and 10 more white
balls in the bag. Now if a ball is drawn from
the bag, the probability of drawing the
white ball is 2 y. Find x.

Answer 1

Answer:

probability of drawing white ball is

x/20=y

if 10 white ball are added then probability will be

x+10/30=2y

by solving both eqs you get

x= 5

Answer 2

x = 5

Step-by-step explanation:

A bag contains 20 balls out of which x balls are white

Probability of White Ball  = x/20

=> y = x/20

place this ball and 10 more white balls in the bag

=> White Balls = x + 10

& Total Balls = 20 + 10 = 30

Probability of White Ball  =  (x + 10)/30

=> 2y  = (x + 10)/30

=> 2 (x/20) =  (x + 10)/30

=> 3x = x + 10

=> 2x = 10

=> x = 5

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