A team has finished a game with 1-10-5 runs-hits-errors line 8 times since 1897, most recently Houston Astros on 24 April 2014. That is about one every 55,375 team-games.
Box score for the most recent one ↗
1-9-5 1-9-0 1-9-4 1-9-6 1-9-7 1-9-9 1-10-5 1-10-0 1-10-2 1-10-3 1-10-6 1-10-1 1-10-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes