A team has finished a game with 8-4-0 runs-hits-errors line 2 times since 1897, most recently Toronto Blue Jays on 23 July 1997. That is about one every 221,502 team-games.
Box score for the most recent one ↗
7-22-3 7-22-2 7-23-1 8-1-0 8-2-0 8-3-0 8-4-0 8-4-3 8-4-1 8-4-4 8-5-6 8-5-1 8-5-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes