{ "id": "math/0511652", "version": "v1", "published": "2005-11-27T05:36:57.000Z", "updated": "2005-11-27T05:36:57.000Z", "title": "The Probability of a Run", "authors": [ "Mark B. Villarino" ], "comment": "4 pages", "categories": [ "math.PR", "math.HO" ], "abstract": "We prove the explicit formula for the probability of a run of r successes in n trials.", "revisions": [ { "version": "v1", "updated": "2005-11-27T05:36:57.000Z" } ], "analyses": { "subjects": [ "60G40" ], "keywords": [ "probability", "explicit formula" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....11652V" } } }