KöMaL 2025 B5476

Each of Ali and Baba has a random number generator (RNG). Ali's RNG chooses one of numbers 1, 2, $\ldots$, 100 with uniform distribution (each number is chosen with the same probability), and Baba's RNG chooses one of numbers 0, 1, 2, $\ldots$, 100 with uniform distribution. Ali calculated the expected number of times he has to use his RNG to get a sum which is at least 101, and Baba calculated the expected number of times he has to use his RNG to get a sum which is at least 100. Whose number is bigger?