Kahn–Kalai conjecture

The Kahn–Kalai Conjecture is a problem about probability and voting. It is trying to figure out the best way to have everyone's opinion count in a vote. It asks: what is the smallest number of people you need to have in a group so that when everyone votes, every single person's opinion will be taken into account? This is an important problem, because it tells us how to make sure everyone's opinion is heard in a group.