Both Uses

arbitrary
in
Delirium, by Lauren Oliver
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The first time I ever used the cell phone that my aunt and uncle share, I was surprised by the patchy interference that kept breaking up my conversation with Hana at random intervals, until my aunt explained that it was just the government's listening devices, which arbitrarily cut into cell phone calls, recording them, monitoring conversations for target words like love, or Invalids, or sympathizer.†
p. 50.2

arbitrarily = in a manner based on chance or impulse
I rank my choices arbitrarily, inserting numbers next to names: Phinneas Jonston (1), Chris McDonnell (2), Brian Scharff (3), Edward Wung (4).†
p. 182.2 *

Definitions:

(1) (arbitrary)
based on chance or impulse (rather than upon reasoning, consistent rules, or a proper sense of fairness)
(2) (meaning too rare to warrant focus)