there are 12 identical balld of different colours in a bag. if 6 more black balls are added then the probability of drawings black balls increase by 1/12. find the original number of black balls
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answer
x+6/18 = ( x/12 ) = x = 3
explanation
Initially, total number of balls =12
No. of black balls =x
So, P(black ball) = 12 / x
If 6 more black balls are added, total
number of balls =12+6=18
NO. of black balls =x+6
P(black ball) = 18x+6
Given the probability of drawing a black ball is now double of what it was before
So, 122x = 18(x+6)
x/ 6= 18(x+6)
3x=x+6
2x=6
x=3
So, the number of black balls present initially =3.
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