A team has finished a game with 3-1-1 runs-hits-errors line 4 times since 1897, most recently Texas Rangers on 4 April 2016. That is about one every 110,751 team-games.
Box score for the most recent one ↗
3-0-3 3-0-4 3-1-2 3-1-0 3-1-4 3-1-3 3-1-1 3-2-1 3-2-2 3-2-3 3-2-0 3-2-4 3-3-0
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes