How can you make choices if time is flowing along an innevitable path that cannot be changed? Determinism implies every set of events is casued completely by those that preceeded them. There is no room for manover. No room for choosing. There is nothing to choose from, only a predetermined sequence of events.
That's an illusion! Time doesn't exist. If information change, the past is erased, no duplication is made, unless you say so.
In other words, I don't think universe is deterministic, and I don't think randomness implicates that you get to choose.
You exist don't you? Where did you come from. Were you always here or did you spontaneously appear from nothing?
I didn't come from, information does, randomness is defined as information that appear from nothing. And that is ODD, WEIRD, SUPERNATURAL.
A Probabalistic universe gives us options. An array of outcomes are possible from a given starting point. We cannot say (with absolute certainty) which of those outcomes will occur. We can only give probabilities and then one will be randomly selected based on those probabilities.
This may allow for free will if we are (sometimes) able to choose which of the outcomes we "live out".
I don't know what you mean by options and "choises" because you say they somehow are connected to the random elements. Can you explain? To me, you complicate what is obviously simple.