A team has finished a game with 0-10-5 runs-hits-errors line 3 times since 1897, most recently Boston Red Sox on 27 May 1967. That is about one every 147,668 team-games.
Box score for the most recent one ↗
0-9-8 0-9-6 0-10-0 0-10-2 0-10-3 0-10-1 0-10-5 0-10-4 0-11-2 0-11-3 0-11-4 0-11-0 0-11-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes