Except that it has been proven impossible for a local hidden variable theory (which is what you are suggesting) to be able to replicate all of the results of quantum mechanics. This result is called Bell's theorem. This essentially means that either the universe is non-deterministic or it is not completely local (i.e. there are effects not caused by local forces). Either that or counterfactual definiteness does not hold (since Bell's theorem relies on it) due to the results of any experiment and the choice of measurement procedure for that experiment being inseparably linked through exactly the same deterministic factors. In other words, counterfactual definiteness being false means that, given an experiment producing a result A through measurement P, it makes no sense to ask "what would have happened if we chose measurement Q instead?" since the very same deterministic factors that caused result A also caused the experimenter to choose measurement P. While this is possible, it is extremely implausible.

Except that it was proven impossible for a local hidden variable theory (which is what you are suggesting) to reproduce the results of quantum mechanics. This result is called Bell's theorem. This means that either the universe is non-deterministic or it is not completely local (i.e. there are effects which cannot be attributed to a local force). Either that or counterfactual definiteness does not hold, which would essentially mean that the result of any experiment and the choice of measurement the experimenter made for that experiment are both inseparably linked by being caused by the same deterministic factors (i.e. the experimenter got result A when doing a measurement Q and it makes no sense to ask "what would have happened if he chose measurement P instead?" since his choice of measurement was predetermined by exactly the same factors that made the result A). This is possible, but very implausible.