A team has finished a game with 0-3-6 runs-hits-errors line 16 times since 1897, most recently Philadelphia Phillies on 9 April 1985. That is about one every 27,687 team-games.
Box score for the most recent one ↗
0-2-7 0-3-1 0-3-0 0-3-4 0-3-3 0-3-2 0-3-6 0-3-5 0-3-7 0-3-8 0-4-1 0-4-3 0-4-2
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes