Distribution and probability of any given number when generated randomly in different chunk sizes

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Consider i generate a 100000 numbers of 9 digit number in two ways

  1. Generate it as first a 5 digit random number and then a 4 digit number and concatenate both
  2. Generate it as three, three digit random number and concatenate them to form the 9 digit number The question is Q1. Will the distribution of the 100000 random numbers generated from the two methods listed above be different. If so how to mathematically prove it Q1. Will the probability of generating any given number be different across the two methods listed above. If so how to mathematically prove it. From my calculation it appears there is no difference, yet a neural network is able to distinguish between the two batches of numbers statistically. So I am at a loss to explain what the difference is that the network is catching up on.