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CarlShulman comments on Survey Results - Less Wrong
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Consequentialism and deontology don't really 'mix' well. Either the consequences ultimately matter, or the rules ultimately matter. So it's either 'consequentialism' that collapses into deontology, or 'deontology' that collapses into consequentialism, or some inconsistent mix, or a distinct theory altogether.
What's wrong with maximize [insert consequentialist objective function here] subject to the constraints [insert deontological prohibitions here]?
Act A will certainly generate X units of good, and has a Y% chance of violating some constraint (killing somone, say). For what values of X and Y will you perform A? It's very tough for deontology to be dynamically consistent.
This is a problem for deontology in general, not a specific problem that arises when trying to combine it with consequentialism.
Whatever probability Y a deontologist would accept can simply be built into the constraint. If the constraint is satisfied, then you do A iff it maximizes X. Otherwise you don't.