A team has finished a game with 5-1-0 runs-hits-errors line 7 times since 1897, most recently Birmingham Black Barons on 20 July 1948. That is about one every 63,286 team-games.
Box score for the most recent one ↗
4-19-0 4-19-2 4-20-1 4-21-1 4-22-0 4-24-4 5-1-0 5-1-1 5-2-0 5-2-1 5-2-7 5-2-3 5-2-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes