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Feb14-12, 11:13 PM
As for "non-identically distributed", consider this- flip a coin and roll a single die. The set of "outcomes" is (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6).
I am not sure, but it seems the distribution of these outcomes will be identical. They will have a uniform distribution with 8.3% chance for each outcome. I actually ran a simulation and I was getting an almost uniform distribution. Is that right?