Hi,
I'm confused on which average probability the outcome should reflect. The average probability you want in the outcome is n^m or m^n. For example, you want the averaged probabilities of 1^m, 2^m, 3^m, 4^m..n^m or the averaged probabilities of (1,2,3..n)1 (1,2,3..n)2... (1,2,3..n)m Please let me know if further clarification is required.