In the land of Numeria, license plates consist of six symbols. The first two must be distinct letters of the English alphabet (26 letters), the next two must be distinct odd digits (1, 3, 5, 7, 9), and the last two must be distinct vowels (A, E, I, O, U). If the symbols are chosen at random subject to these conditions, what is the probability that the plate will read "CM57EU"?
