A team has finished a game with 7-2-0 runs-hits-errors line 3 times since 1897, most recently Kansas City Monarchs on 4 July 1947. That is about one every 147,668 team-games.
Box score for the most recent one ↗
6-28-5 7-0-0 7-0-3 7-0-4 7-1-0 7-1-1 7-2-0 7-3-1 7-3-9 7-3-2 7-3-0 7-4-1 7-4-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes