Question 67
An urn contains $N$ balls $(N \gt 3)$ numbered from 1 to $N$. If two balls bearing numbers that are not multiples of 3 and one ball bearing a multiple of 3 are removed from the urn, the probability of obtaining a multiple of 3 when drawing a single ball turns out to be smaller than it was with the complete 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.
(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.