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# Winless Lottery Steak and Generalized Geometric Distribution

DOI: 10.4236/jmf.2024.143017, PP. 311-316

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Abstract:

In the U.S., the two most popular lotteries are Mega Millions and Powerball. In Mega Millions, 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.

References

 [1] Ross, S. (2023) A First Course in Probability. 10th Edition, Pearson. [2] https://www.megamillions.com/ [3] https://lottoreport.com/ [4] https://www.powerball.com/

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