{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,23]],"date-time":"2026-08-23T15:26:16Z","timestamp":1787498776835,"version":"build-2736575974"},"reference-count":6,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[1993,6]]},"abstract":"<jats:p>In this note the author gives a simple probabilistic proof of a combinatorial identity by calculating the winning probability in the World Series. The winning probabilities and the expected length of the championship series are given by the applications of the identity and its generalization.<\/jats:p>","DOI":"10.1137\/1035048","type":"journal-article","created":{"date-parts":[[2005,3,7]],"date-time":"2005-03-07T02:32:15Z","timestamp":1110162735000},"page":"294-297","source":"Crossref","is-referenced-by-count":5,"title":["A Combinatorial Identity and the World Series"],"prefix":"10.1137","volume":"35","author":[{"given":"Tam\u00e1s","family":"Lengyel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,12]]},"reference":[{"key":"R1","volume-title":"An introduction to probability theory and its applications. Vol. I","author":"Feller William","year":"1968"},{"key":"R2","volume-title":"Concrete Mathematics","author":"Graham R. L.","year":"1988"},{"key":"R3","volume-title":"An Introduction to Mathematical Statistics and Its Applications","author":"Larsen R. J.","year":"1986"},{"key":"R4","volume-title":"Fifty challenging problems in probability with solutions","author":"Mosteller Frederick","year":"1965"},{"key":"R5","first-page":"115","volume":"10","author":"Tannenbaum P.","year":"1989","journal-title":"UMAP Journal"},{"key":"R6","volume-title":"The William Putnam Mathematical Competition, Problems and Solutions: 1965\u20131984","author":"Alexanderson G. L.","year":"1980"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/1035048","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:47:09Z","timestamp":1787237229000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/1035048"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,6]]},"references-count":6,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1993,6]]}},"alternative-id":["10.1137\/1035048"],"URL":"https:\/\/doi.org\/10.1137\/1035048","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,6]]}}}