To find the probability of drawing certain colour of balls, we first need to find the total number of balls:
5 + 7 +5 = 17
<u>For the number of red balls that need to be added</u>
The original probability of drawing a red ball:
red ball/ total number of balls
= 5/17
To find the number of balls required, we can set an equation.
Let the number of red balls that need to be added be x.
5+x / 17+x = 5/6
(5+x) x 6 = (17+ x) x5
30 + 6x = 85 + 5x
6x - 5x = 85 - 30
x = 55
Therefore, <u>55</u> red balls need to be added.
<u>For the number of black balls that need to be added</u>
The original probability of drawing a white ball:
white ball/ total number of balls
=5/17
To find the probability required, we can set an equation.
Let the number of black balls that need to be added be y.
5/ 17 + y = 1/6
5 x 6 = 17 + y
30 = 17 + y
30 - 17 = y
y = 13
Therefore, <u>13</u> black balls need to be added.
Hope it helps!