A team has finished a game with 6-1-3 runs-hits-errors line 1 time since 1897, most recently Chicago White Sox on 28 August 1909. That is about one every 443,004 team-games.
Box score for the most recent one ↗
5-21-5 5-21-0 5-21-2 5-22-4 5-22-0 5-22-1 6-1-3 6-1-0 6-2-0 6-2-1 6-2-3 6-2-2 6-3-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes