possibility

The power of being or existing; the power of happening; the state of being possible. It often implies improbability or great uncertainty. There is a possibility that a new star may appear this night. There is a possibility of a hard frost in July in our latitude. It is not expedient to hazard much on the bare possibility of success. It is prudent to reduce contracts to writing, and to render them so explicit as to preclude the possibility of mistake or controversy.