A team has finished a game with 0-0-2 runs-hits-errors line 50 times since 1897, most recently Cleveland Guardians on 11 September 2021. That is about one every 8,860 team-games.
Box score for the most recent one ↗
0-0-0 0-0-1 0-0-5 0-0-3 0-0-4 0-0-2 0-0-7 0-0-6 0-1-4 0-1-2 0-1-0 0-1-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes