If everything is perfectly equal, then yes it will still choose either one of them, the main stimulus of 'being hungry' is still there, so ...

I'm not sure if you can call that random though, maybe he sees the two piles as 'one source of food', when it's equal? Making a choice is only relevant if making that choice would actually matter hehehe, but yes, perhaps that behavior would be the result of a random thought indeed.

Cheers