A team has finished a game with 3-4-7 runs-hits-errors line 3 times since 1897, most recently Chicago American Giants on 15 June 1935. That is about one every 147,668 team-games.
Box score for the most recent one ↗
3-3-4 3-3-2 3-3-7 3-3-3 3-3-5 3-4-5 3-4-7 3-4-1 3-4-2 3-4-0 3-4-3 3-4-8 3-4-6
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes