Here is a great illustration of a "pilot wave theory" which shows that merely droplets of a fluid on top of a vibrating pool of the same fluid can generate much of the results of quantum mechanics, but without the abstract probabilistic mathematics or particle-wave duality mind warps.
Further information can be viewed here: http://dualwalkers.com/bouncingdroplets.html
Time to get me some silicon oil and take apart my sound speaker...