The primary hydrogen will be replaced as the C6H5CH2· is stabilized now.
"Is it really true that not even a single molecule is made with a primary hydrogen replaced by bromine?"
Not true.
Then the question in my first post is wrong. Very rigorously, two derivates are made in reality.
Very rigorously, all possible derivatives are made in almost all reactions you can think of. If you frame the question the way you did: "even a
single molecule".
When you have ~10
23 molecules flying around even the most probablistically unlikely event is very sure to
sometimes happen (at Room Temp. ). Even a Markovniov addition has almost surely at least one molecule of the anti-Markovnikov product.
I'd love to see cases where a product is strictly forbidden at a molecular level; that'd have to be some electronic or quantum mechanical restriction. But based on energetics or activation energies alone I think molecular level absolute selectivity is very difficult.
I don't think this makes the question wrong. You are only mis-interpreting it.