In the land of Numeria, all automobile license plates have four symbols. The first must be an even digit (0, 2, 4, 6, or 8), the second and third must be two different vowels (A, E, I, O, U), and the fourth must be a consonant (non-vowel). If the symbols are chosen at random subject to these conditions, what is the probability that the plate will read "2IEZ"?
