No, if you do nothing you they all die, so you can only take positive action, in which case its personal choice, you are not actively putting the majority in danger, just not taking action to remove them from it.
How about this:
You are standing on a bridge when you notice 10 people on the tracks ahead of you, with a train approaching from the other side of the bridge, the driver cannot see the people on the tracks and will run them over if nothing is done to alter the situation. You notice a person next to you on the side of the bridge, pushing them onto the tracks ahead of the train will cause the train to stop with only that person killed, thereby saving 10 other people, do you push the person?
http://www.youtube.com/watch?v=Fs0E69krO_Q