You can always turn a deterministic problem into a probabilistic one if enough variables are hidden. But this doesn't mean that the underlying mechanics of the situation are necessarily probabilistic.
The gasoline example you gave above is inherently probabilistic, because you do expect that, given the same perceived initial conditions many times, the outcomes would vary each time the "experiment" is carried out.
When it comes to orbital mechanics, the variability comes not in being inherently unsure of what will change, but from a known error based on number and quality of measurements. This is why the probability of collision numbers change over time - they are really confidence numbers, not probability of occurrence numbers. No matter how many times you measure a fair die roll, the probabilities will always come up the same.
More measurements won't help you with a coin toss, quantum mechanics, or your gasoline example, because it's not possible to gain enough measurements (or in QM's case, there is strong evidence that no such parameters even exist to measure in the first place).