On the largest scale, maybe. But won't a random sequence have local clusters that look like patterns? Since the human mind loves patterns, we tend to focus on those local clusters and elevate their importance--that's how gamblers think they're on "lucky streaks" or that a slot machine is "due." And the length of a random sequence you have to look at in order to find a local pattern is often surprisingly small. One has to be really careful in concluding that one has found a true pattern.
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