How did you arbitrarily come to a result?
I have no idea. That's what 'arbitrary' means.
No, thats not what 'arbitrary' means.
Look here
http://dictionary.reference.com/browse/arbitraryar·bi·trar·y /ˈɑrbɪˌtrɛri/ Show Spelled
[ahr-bi-trer-ee] Show IPA
adjective, noun, plural -trar·ies.
–adjective
1. subject to individual will or judgment without restriction; contingent solely upon one's discretion: an arbitrary decision.
2. decided by a judge or arbiter rather than by a law or statute.
3. having unlimited power; uncontrolled or unrestricted by law; despotic; tyrannical: an arbitrary government.
I assume you did not have a Judge or secondary party choose the deck for you.
So if you did make an arbitrary descision then it was based on your own discretion.
Because it was made at your discretiion you had to have calculated a result from the variables given.
If you chose the first deck in your list or even rolled a dice the variables there are the same and the same result would have been attained.
If you ment to say that you had no idea how you came to the conclusion. The situation exists that you never made a choice but the choice was made for you based on the metaprograming. With the variables all the same the same result is always attained.