Answer: 0.0125

The probability calculation is based on the union of the five identical names being drawn. Since there are 400 total names and 5 of them are identical, the probability of drawing any one of these five names is: $$\begin{aligned} P(\text{name 1} \cup \text{name 2} \cup \text{name 3} \cup \text{name 4} \cup \text{name 5}) \\ = \frac{1}{400} + \frac{1}{400} + \frac{1}{400} + \frac{1}{400} + \frac{1}{400} = 0.0125 \end{aligned}$$ This equals 5/400 = 0.0125, which corresponds to option A.

Author: Tanishq Prabhu