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Graph of number of coupons, n vs the expected number of trials (i.e., time) needed to collect them all, E (T ) In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests.
Graphs of n vs E(T) in the coupon collector's problem: Image title: Graphs of the number of coupons, n vs the expected number of tries to collect them, E(T) = ceiling(n H(n)) in the coupon collector's problem, drawn by CMG Lee. Width: 100%: Height: 100%
Applications of the harmonic series and its partial sums include Euler's proof that there are infinitely many prime numbers, the analysis of the coupon collector's problem on how many random trials are needed to provide a complete range of responses, the connected components of random graphs, the block-stacking problem on how far over the edge ...
Component (graph theory) In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting of the ...
September 17, 1923 – George Meegan, a Chicago bootlegger allied with the Southside O'Donnells, and Southside O'Donnell member George Bucher were killed by Frank McErlane. 1924 – Prosperous Irish mobsters Paddy Lake and Terry Druggan, of Chicago's little-known Valley Gang, each got a year in jail for contempt of court.
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The origins of the Collectors Club of Chicago ( CCC) are traced to the informal meetings during the 1920s of specialized collectors residing in the Chicago area. The CCC was incorporated in accordance with the General Not For Profit Corporation Act on October 13, 1928, in the State of Illinois, with nine members being named directors and with ...
Given n coupons, how many coupons do you expect you need to draw with replacement before having drawn each coupon at least once. —Preceding unsigned comment added by 131.155.59.211 11:30, 21 January 2010 (UTC) I agree with this. The problem defn. on the page was not clear to me at all. Magicmike 19:42, 22 February 2011 (UTC)