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Ideally, a power supply would exist that would create 2 or 3 volts DC,
and each LED would be wired in parallel (individually). This power
supply would have capacitors to eliminate flicker. But these mass
produced light strings are made cheap, to sell cheaply, so they use the
series wiring....


As LEDs are mainly a current device instead of voltage devices they operate
beter in series even if it means a real pain to find the bad one if it
opens.