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An Olympic level pistol shooter will easily achieve 8-10 MOA accuracy, but that is with a pistol held at arms length away, bringing the rear sight into alignment with the eye, not having the rear sight up against the eye like a military style apeture.
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Sweet I should try out for the olympics I can shoot better than that.
Seriously A NRA B-6 50 yard target's 10 ring is right at 4 MOA and they shoot one handed off hand.
I've shot 6" to 8" groups at 100 with a 4" revolver moving sights closer just make margin of error smaller.