A team has finished a game with 1-0-4 runs-hits-errors line 1 time since 1897, most recently Boston Red Sox on 24 April 1917. That is about one every 443,004 team-games.
Box score for the most recent one ↗
0-15-1 0-15-0 1-0-0 1-0-3 1-0-2 1-0-1 1-0-4 1-0-5 1-1-3 1-1-0 1-1-2 1-1-1 1-1-5
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes