The Collaborative International Dictionary of English v.0.48:
Fallibility \Fal`li*bil"i*ty\, n. The state of being fallible; liability to deceive or to be deceived; as, the fallibity of an argument or of an adviser. [1913 Webster]WordNet (r) 3.0 (2006):
fallibility n 1: the likelihood of making errors [ant: infallibility]