The phrase "arbitrary choice" refers to a decision or selection that is made without any particular reason or logic. It implies that the choice was random or haphazard, without any specific criteria or consideration behind it. Full definition
And there's no guarantee of that, because it's not usually related to my gameplay performance, it's simply based on arbitrary choices I'm making. (indiewatch.net)
You'll be given a seemingly arbitrary choice at the beginning of the game as to which division you'll be a part of. (mygameslounge.com)
The overall results for the index as a whole were overwhelmed by the quite arbitrary choices to be made on this one point. (religion-online.org)