Quote from: Khris on Sun 21/04/2013 20:05:38Sure... but we don't know where the intruder is standing!
My solution is all about not knowing where the intruder is, I am only assuming that they are somewhere within a sector of ±60° from a shot straight through the door, which is pretty reasonable, unless they're pressing themselves against the wall near the door (in which case the chances of hitting them drop to 0, which is certainly not what slasher was asking about).
The width of the room doesn't matter, only the distance between gun and intruder. Unless of course the room is tiny or very narrow, but there's no reason to assume that based on the initial question.
The big problem with your proposed solution is that the door isn't as wide as the room. The shooter isn't going to change position, just angling the gun. Just imagine the room on the other side is really big, but the intruder is standing relatively close to the door. In that case it's obvious that your solution's result is going to be way off base, while mine is still pretty accurate.
"I am only assuming that they are somewhere within a sector of ±60° from a shot straight through the door" - but slasher said "you have no idea where in that room the intruder is positioned". Why couldn't the intruder be in the corner of the room next to the door???
If the room is very wide, then the intruder is PROBABLY not going to be standing in the shooter's path. And if the room is very narrow, then the intruder is PROBABLY going to be standing in the gun's path - assuming the shooter knows the layout of the room he'll shoot along the length of the room and not into the side wall, like he might in your interpretation.
My solution doesn't involve the shooter changing positions. If we were to test our solutions by having 100 intruders in 100 rooms, my shooter would stand in the center of the door and fire straight along the length of the room 100 times. This is because the shooter has no reason not to - there's no point in angling the gun or moving around, because the shooter doesn't know where the intruder is.
The fun thing is, both our solutions are correct. Slasher can pick the one that he was looking for. My answer fits MY interpretation of the problem better than yours, but I wouldn't be too surprised if my mind works differently from slasher's.
Anyways... NUMBER MUNCHERS!!! Yes! I loved that game! Or else I hated it and I was just forced to play it. I love it now, anyways.
