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From Unequal Chance to a Coin Game Dance: Variants of Penney’s Game

Year: 2021

Type: article

Abstract: We start by exploring and analyzing the various aspects of Penney’s game, examining its possible outcomes as well as its fairness (or lack thereof). In search of a fairer game, we create many variations of the original Penney’s game by altering its rules. Specifically, we introduce the Head-Start Penney’s game, the Post-a-Bobalyptic Penney’s game, the Second-Occurrence Penney’s game, the Two-Coin game, the No-Flippancy game, and the Blended game. We then analyze each of these games and the odds of winning for both players.

Source: Recreational mathematics magazine

DOI: 10.2478/rmm-2021-0002

Authors: Isha Agarwal, Matvey Borodin, Aidan Duncan, Kaylee Ji, Shane Lee, Boyan Litchev, Anshul Rastogi, Garima Rastogi, Andrew Zhao, Tanya Khovanova

Institution: Massachusetts Institute of Technology

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W3208913249

FWCI:

Cites: 6

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Related to: 10