Then a solution - if you choose to accept it - is to learn to be okay with whatever it is you consider "extreme bad luck" and that, however much it bothers you, it's not like the players didn't make reasonably informed decisions to put their characters into a situation where that could occur. You can also further mitigate the concern by having the players create backup characters that are already introduced into the setting so that they can be seamlessly brought into play should the current characters be killed. Accept that "extreme bad luck" is just another twist in the emergent story and sometimes that can lead to character death. To find out what happens next, turn the page and carry on.