According to wikipedia:
http://en.wikipedia.org/wiki/Bohm_interpretation Quote:
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However, Bell's inequality complicates this hope, as it demonstrates that there is no local hidden variable theory that is compatible with quantum mechanics. Thus, one is left with choosing between the lesser of two evils: discarding locality, or discarding realism. The Bohmian interpretation opts for keeping realism and accepting nonlocality.
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Bohmian Mechanics is a hidden variable theory. Basically that what we see as random is due to the some complex variables that we can't track.
I believe that the problem with these predictions is that the behavior of these complex random variables would be indistinguishable from randomness. Observations of quantum mechanical processes provide highly accurate approximations to predicted probability distributions.
I recommend checking out Bell's Inequality linked from the above wikipedia article and read the overview:
http://en.wikipedia.org/wiki/Bell%27s_inequality
I wouldn't be such a strong proponent of throwing determinism out the window if quantum mechanics wasn't so damn effective at describing the universe as we see it.