Innocent people deserve more than "pretty sure".
Yoits, did you take training on how to be a ‘concern troll’ or are you so open minded that your brain fell out?
Sod off you limp-wristed, cheese-eating, surrender monkey. We need you like we need a case of AIDS.
Not in war they don't. If you have an operation that can severely injure 4,000 enemy soldiers but might harm 10-100 civilians, you are a d@mn fool if you don't do it.
That a very small number of civilians might be harmed, is not a rational reason to forebear killing or injuring 4,000 enemy soldiers.
How many civilians will die by letting all those soldiers live?
Your calculations are leaving out the deaths that would be caused by the terrorists. Those are much more likely than possible injuries or deaths caused to civilians caught in the attack on the terrorists.
Blame Hezbollah.
Like Hamas using citizens as shields, people involved w/Hezbollah to the extent that they would be given a Hezbollah pager are sympathizers. Remember in war actions that injure noncombatants are not forbidden. The rule is that the injury to civilians must be commensurate with the importance of the action to the war effort. Remember Hiroshima, Dresden bombing of London and understand the real issues not the pearl clutching.