6. An urn contains $N$ balls $(N>3)$ numbered from 1 to $N$. If two balls with numbers that are not multiples of 3 and one ball with a number that is a multiple of 3 are removed from the urn, the probability of drawing a multiple of 3 is less than it was with the full urn. What can be deduced about $N$?

(A) $N$ is certainly a multiple of 3

(B) $N$ is not a multiple of 3

(C) $N$ is certainly odd

(D) $N$ is certainly even

(E) none of the previous statements can be deduced.