The probability of drawing one of the 5 identical names is calculated by adding the individual probabilities of each name being drawn. Since there are 400 total names and 5 identical names, the probability for each name is 1/400. Therefore, the total probability is:

P(name 1 ∨ name 2 ∨ name 3 ∨ name 4 ∨ name 5) = 1/400 + 1/400 + 1/400 + 1/400 + 1/400 = 5/400 = 0.0125

This is a basic probability calculation where the events are mutually exclusive (drawing one name excludes drawing another), so we can simply add the probabilities.