To take this to its conclusion, statistically there's a non-zero chance that the next thing you eat could poison you, therefore you should never eat anything ev

To take this to its conclusion, statistically there's a non-zero chance that the next thing you eat could poison you, therefore you should never eat anything ever again. It's always a case of trade offs and, in the case of using force, morality. The real issue is the level of uncertainty a police officer should accept. In most European countries, the balance is legally set much more in favour of protecting the public in these situations compadres to the US