A bag contains 24 balls, out of which X are white. If one ball is drawn at random, the P(E) of drawing a white ball is Y. 12 more white balls are added to the bag. Now if a ball is drawn, from the bag, the P(E) of drawing a white ball is 5Y/3, find the value of X.
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The value of x is 8.
Total number of balls = 24 (Given)
Let the number of white balls be = x
Probability of drawing a white ball = y.
Probability of drawing a white ball -
Number of white balls / Total number of balls
y = x/24
Now, since 12 more white balls are added to the bag, thus -
Probability of drawing a white ball = Number of white balls /Total number of balls
5y/3 = x + 12/ 24+12
5y/3 = x+12/36
5y = x+12/12
5×x/24 = x+12/12
5x = 2x+24
3x=24
x=8
Thus, the value of x is 8.
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answer is correct
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