Below you will find links to documents that were used to assist us in the creation and running of the Penney Ante Game as an activity during a 'Maths Fun Day' for year 11 Mathematics students. However, this activity is easily adaptable for the classroom and it is hoped that these resources will provide a starting point for a new and exciting learning experience.
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References
Barratt, C. & Schwartz, P.M. 2012, ‘Analysis of the Penney-Ante Game Using Difference Equations: Development of an Optimal and a Mixed-Strategies Protocol’, Journal of Mathematics Research, vol. 4, no. 6, pp. 1 – 11.
Board of Studies Teaching & Educational Standards (BOSTES) NSW, Probability: Outcomes, BOSTES NSW, viewed 3 August 2015, <http://syllabus.bos.nsw.edu.au/mathematics/mathematics-k10/content/744/>.
Math is Fun, 2015, Binary Number System, Math is Fun, viewed 12 August 2015, <https://www.mathsisfun.com/binary-number-system.html>.
Nishiyama, Y. 2010, ‘Pattern Matching Probabilities and Paradoxes as a New Variation on Penney’s Coin Game’, International Journal of Pure and Applied Mathematics, vol.59, no.3, pp. 357 – 366.
Board of Studies Teaching & Educational Standards (BOSTES) NSW, Probability: Outcomes, BOSTES NSW, viewed 3 August 2015, <http://syllabus.bos.nsw.edu.au/mathematics/mathematics-k10/content/744/>.
Math is Fun, 2015, Binary Number System, Math is Fun, viewed 12 August 2015, <https://www.mathsisfun.com/binary-number-system.html>.
Nishiyama, Y. 2010, ‘Pattern Matching Probabilities and Paradoxes as a New Variation on Penney’s Coin Game’, International Journal of Pure and Applied Mathematics, vol.59, no.3, pp. 357 – 366.