For that set of years (Winter season, DCA):
Below normal precip: 6
Near normal precip: 4
Above normal precip: 1
Above normal temps: 7
Near normal temps: 3
Below normal temps: 1
The only ok combos were '05-06 (13.6") with near normal precip and temps and '20-21 (5.4") with above normal precip and near normal temps.