I've just been re-reading Gygax's description of spell-casting in his PHB and DMG. It talks about various components in spell casting, including the need for the somatic components to "be begun and completed without interruption in a clean, smooth motion" (DMG p 65) and the fact that "gestures must be exact and movements free and as prescribed" (PHB, p 100).
There are other class abilities in D&D that require exact hand motions to be completed cleanly - picking pockets, disarming traps, some weapon attacks - and since the earliest days these abilities have required a dice roll to determine whether or not the character successfully performs the motions in question. But generally it's never been required to make a roll to see if the somatic components can be properly performed. Why does spell-casting get this sort of benefit of the doubt?
There are other class abilities in D&D that require exact hand motions to be completed cleanly - picking pockets, disarming traps, some weapon attacks - and since the earliest days these abilities have required a dice roll to determine whether or not the character successfully performs the motions in question. But generally it's never been required to make a roll to see if the somatic components can be properly performed. Why does spell-casting get this sort of benefit of the doubt?