A team has finished a game with 1-15-0 runs-hits-errors line 6 times since 1897, most recently St. Louis Cardinals on 17 April 2010. That is about one every 73,834 team-games.
Box score for the most recent one ↗
1-14-0 1-14-1 1-14-4 1-15-4 1-15-2 1-15-3 1-15-0 1-16-3 1-16-7 1-16-1 1-16-0 1-17-3 1-20-1
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes