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A "possibility" is a two-place word.
It is relative to the knowledge of someone.
Take a random number in Kolmogorov sense, and with a infinite decimal representation.
Some digits of this number can’t be determined.
"...all events transpire in virtue of some necessity and are therefore inevitable"
- wikipedia on Determinism
Every event in the Universe is the product of a chemical reaction or particles interacting with one another. Because physics and chemistry are very well-defined, every state of the Universe is pre-determined.
What determined mean ?
How the wave function of a quantum property collapse, seem to not be determined.
You can’t know if a arbitrary program will stop or not.
Whoever realises this argument is doing it with his/her/its brain which is a biological organ evolved to work with prediction, to make sense, via means of pattern recognition. Nothing is determined, but we think it is, thinking is internal.