is it a mistake ?

A jar contains only red, white and blue marbles.It contains twice as many red marbles as white marbles and three times as many white marbles as blue marbles. If a marble is choosen at random, what is the probability that it is not red ?

A)$\frac15$

B)$\frac25$

C)$\frac35$

D)$\frac45$

My answer:

$\begin{array}{rcll} 2r &=&w \\ 3w\;(or\;6r)&=&b \end{array}$

Alltogether there is 9r marbles the probability of choosing red marble is $\frac19$

the probability of not choosing red is $1-\frac19=\frac89$