How rare is a legitimate two-headed quarter?
According to the U.S. Treasury, two-headed quarters are nearly impossible to find. The process of minting quarters involves striking both sides of the quarter at the same time to imprint the images seen. This process makes it highly improbable that a legitimate two-headed quarter will be produced. The Treasury claims the majority of two-headed quarters in circulation are novelty items, produced by pressing two quarters together, though it does not deny the existence of actual two-headed quarters.References:U.S.