The meaning of POSSIBILITY is the condition or fact of being possible —usually used with of. How to use possibility in a sentence.

POSSIBILITY definition: 1. a chance that something may happen or be true: 2. something that you can choose to do in a…. Learn more.

If there is a possibility of something happening or being true, it might happen or be true. There was a possibility that they had taken the wrong road. We must accept the possibility that we might be …

If you say there is a possibility that something is the case or that something will happen, you mean that it might be the case or it might happen. We were not in the least worried about the possibility that …

If something could realistically happen, it's a possibility. So winning the lottery is a slight possibility, but becoming king of the world is not even a remote possibility.

Rain is a possibility today. [=it might rain today] There is a wide range of possibilities [= options] to consider. My first two ideas didn't work, but I thought of a third possibility.

There are 11 meanings listed in OED's entry for the noun possibility, six of which are labelled obsolete. See ‘Meaning & use’ for definitions, usage, and quotation evidence.