I am counting 12 Remodelers: Remodel, Replace, Upgrade, Expand, Remake, Develop, Procession, Butcher, Transmogrify, Dismantle, Governor and Zombie Mason. Plus 6 direct 5-gainers. 18 cards out of 297 (all expansion except Renaissance plus Promos). This is conservatively ignoring cost reduction - Workshop variation combos.
Chances that none of these 18 cards are in the Kingdom are 52,98% (279/297 * 278/296 * ...).