A faulty geometry problem

If you stand on level ground and look at The Pentagon, you will see either two sides of the building, or three (assuming you're far enough away not to see just one side).

Which is more likely?  Seeing two sides, or seeing three sides?

It's very simple, and can be deduced by logic rather than geometry per se.  But I got it wrong.

To find out whether your answer is right or not, you'll need to look in the Futility Closet.*

*Addendum - but it won't do you any good, because the answer at Futility Closet might be wrong, as three readers here pointed out within an hour.

**Second addendum - the errors claimed by the first three readers have been challenged by a fourth.

I'll leave the post up until we sort out the correct answer (or agree on how to word the proposition accurately).