When a colony of honeybees outgrows a hive, it will swarm for the purpose of selecting a new home. The swarm engages in afascinating process (taking place in the late spring and early summer), during which the swarm’s scout bees examine the surrounding environmentfor new homes and report back on quality and location. This "house-hunting" process continues until a sufﬁcient number of scoutsagree on site. Swarms will very often choose the best site whenmany are available. In this talk I will describe stochasticsite-selection models for the process. Natural questions for such amodel include whether or not enough bees will reach a decision (i.e. will a be quorum reached), whether or not the process locatesthe best site and the rate at which decisions are reached. This is based on work from my Ph.D. thesis and continuing work-in-progresswith my thesis adviser, Ed Waymire.