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Has anyone ever ended up with the standard starting position after generating a random position for Chess960? It must've happened, the odds are only 960/1 (though I imagine a lot of the programs which generate 960 starting positions remove the standard position from the equation)?
Never happened to me before. I agree: the programs which generates 906 starting positions should remove the standard position from the equation.
If they did, that would become chess-959 - a completely different variant.