A team has finished a game with 0-8-5 runs-hits-errors line 10 times since 1897, most recently Milwaukee Brewers on 31 May 1978. That is about one every 44,300 team-games.
Box score for the most recent one ↗
0-8-0 0-8-4 0-8-2 0-8-3 0-8-1 0-8-8 0-8-5 0-8-6 0-8-10 0-9-1 0-9-2 0-9-3 0-9-4
The whole distribution — Runs-Hits-Errors Lines · All 18 shapes