We do have a choice, but it is possible to predict what choice one will make with sufficient amounts of data. (In a large majority of cases, we do not have enough.)
If you had knowledge of the position and nature of every atom and particle in the universe along with a sufficiently strong computing device, you could predict anything from the creation of the universe to its end.
It'll never happen, though.
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<span style="color:#000000">All morons hate it when you call them a moron.