C is the only letter of the 5 in VICTORY.
Hence, A and E are two vowels of the 4 letters A, B, D, E that do not appear in VICTORY.
Hence the probability that 2 cards do not appear in VICTORY is
then the probability that the two cards are vowels is as you calculated.
Given that the cards do not appear in VICTORY,
there are 16 possibilities in choosing 2 cards.
There are 4 ways to choose the vowels with replacement... AA, AE, EE, EA
therefore there is a 1 in 4 chance the letters were vowels if the letters were not in VICTORY.
Hence, in terms of conditional probability