Was the fall of man inevitable? Given that:


Life of man continued in eternity in Eden
During this time the tree of knowledge was present
At any given point in time, man had the free will to make the choice: I will eat the forbidden fruit


it seems like a mathematic inevitability that the probability of eating the fruit = 100% as time → infinity?

I might be thinking of this too naïvely or simplistically but it seems like regardless how figurative or literal you take the account, the core issue still stands?

Unless 1. is not as simple as it seems and eternity is a more complex notion than simply time continuing indefinitely as we understand time now? Or 2. is debatable, i.e. the tree could have only been a one-time test which would not have continued into eternity?
Well, let's have a look at the actual text.


  Genesis 2: 16-17
  
  16 And the LORD God commanded the man, saying, Of every tree of the
  garden thou mayest freely eat:
  
  17 But of the tree of the knowledge of good and evil, thou shalt not
  eat of it: for in the day that thou eatest thereof thou shalt surely
  die.


Verse 17 is particularly interesting.  "In the day that thou eatest thereof" is not an "if" statement but a "when" statement.  This makes me think that yes, it was part of the plan, and that Satan's temptation did not consist of getting them to eat the fruit per se, but of getting them to do it before they were ready (whatever else that would have consisted of.)  Unfortunately, the Scriptures are silent on any further details.