A team has finished a game with 4-0-2 runs-hits-errors line 1 time since 1897, most recently Chicago White Sox on 1 July 1990. That is about one every 443,004 team-games.
Box score for the most recent one ↗
3-19-2 3-19-3 3-20-0 4-0-0 4-0-6 4-0-1 4-0-2 4-1-3 4-1-0 4-2-0 4-2-1 4-2-6 4-2-3
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes