A team has finished a game with 8-20-3 runs-hits-errors line 3 times since 1897, most recently New York Mets on 14 April 2000. That is about one every 147,668 team-games.
Box score for the most recent one ↗
8-19-4 8-19-3 8-19-0 8-19-1 8-19-5 8-19-2 8-20-3 8-20-5 8-20-1 8-20-2 8-20-0 8-21-3 8-21-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes