A team has finished a game with 0-7-5 runs-hits-errors line 32 times since 1897, most recently Oakland Athletics on 3 September 2003. That is about one every 13,843 team-games.
Box score for the most recent one ↗
0-6-2 0-6-8 0-6-5 0-6-7 0-7-2 0-7-7 0-7-5 0-7-3 0-7-4 0-7-0 0-7-1 0-7-6 0-7-8
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes