A team has finished a game with 5-3-8 runs-hits-errors line 1 time since 1897, most recently Boston Braves on 4 June 1901. That is about one every 443,004 team-games.
Box score for the most recent one ↗
5-2-1 5-2-7 5-2-3 5-2-2 5-3-2 5-3-0 5-3-8 5-3-1 5-3-4 5-3-3 5-4-1 5-4-2 5-4-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes