%0 Journal Article
%T Winless Lottery Steak and Generalized Geometric Distribution
%A Kung-Kuen Tse
%J Journal of Mathematical Finance
%P 311-316
%@ 2162-2442
%D 2024
%I Scientific Research Publishing
%R 10.4236/jmf.2024.143017
%X In the U.S., the two most popular lotteries are Mega Millions<sup>&#174;</sup> and Powerball. In Mega Millions<sup>&#174;</sup>, players pick six numbers from two separate pools of numbers, five different numbers from 1 to 70, and one number from 1 to 25, a total of six numbers. In Powerball, players choose five numbers from 1 to 69 and one number from 1 to 26. If there is no winning ticket this time, the amount of jackpot (matching all six numbers) increases for the next draw until a winning ticket is found. We estimate the average number of draws it takes for a winning lottery ticket to be found.
%K Lottery
%K Geometric Distribution
%K Expectation
%K Telescopic Series
%K Geometric Series
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=135073