A team has finished a game with 3-6-8 runs-hits-errors line 4 times since 1897, most recently New York Black Yankees on 24 June 1943. That is about one every 110,751 team-games.
Box score for the most recent one ↗
3-6-5 3-6-0 3-6-2 3-6-3 3-6-4 3-6-7 3-6-8 3-6-9 3-6-6 3-7-1 3-7-3 3-7-2 3-7-5
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes