Correct option is: A) \(\frac{3}{5}\)
There are 6 red, 3 black and 6 white balls.
\(\therefore\) Total number of balls = 6 + 3 + 6 = 15.
Number of balls which are not red = 3 + 6 = 9.
\(\therefore\) Probability that selected ball is not red.
= \(\frac {Total \,number \,of \,balls \,which\, are\, not \,red}{Total \,number \,of \,balls \,in\, the \,bag}\) = \(\frac 9{15} = \frac 35\)