Resources
Birthday Problem and Class Phenotypic Probabilities
Author(s): John R Jungck1, Jennifer Spangenberg2, Annelise L. Myers2
1. Interdisciplinary Science Learning Center at the University of Delaware 2. Beloit College
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Birthday_Problem_edited.xls(XLS | 409 KB)
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Overview
This workbook as two related applications, the Birthday Problem and Class Phenotypic Probabilities. The Birthday Problem calculates the probability that two people in a given number will have the same birthday. The user will enter their class number into the worksheet and the program will output a probability, graphically. Class Phenotypic Probabilities determines the allelic frequency of a population for 6 characteristics (blood type, RH positive/negative, sex, mid-digital hair positive/negative, earlobes attached/unattached and PTC taste receptor). The user can enter their phenotype for each characteristic and the program will calculate the probability of that particular combination and the probability of other people having the same combination.
Popular Text Citations
Feller, W. (1968) An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd ed. New York: Wiley, pp. 31-32.
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Research Articles
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Education Research & Pedagogical Materials
Lesser, L.M. (1999). Exploring the birthday problem with spreadsheets, The Mathematics Teacher (92), No. 5 pp. 407-411.
Stultz, Lowell. 2000. Probabilities and Statistics on the Spreadsheet. In 'How to Excel in Finite Math'. Pearson Custom Publishing, Boston, Pages 104-113.
Tutorial & Background Materials
Eric W. Weisstein. "Birthday Problem." From MathWorld--A Wolfram Web Resource.
Becky Schmoyer. The Birthday Problem
S. Finch. "Puzzle #28 [June 1997]: Coincident Birthdays."
Ivars Peterson. "MathTrek: Birthday Surprises." Nov. 21, 1998.
The Birthday Problem, University of Virginia (broken link - http://curry.edschool.virginia.edu/go/teacherlink/content/math/interactive/probability/lessonplans/birthday/home.html)
L. Tesler. "Not a Coincidence!"
Citation
Researchers should cite this work as follows:
- Jungck, J. R., Spangenberg, J., Myers, A. L. (2018). Birthday Problem and Class Phenotypic Probabilities. ESTEEM, QUBES Educational Resources. doi:10.25334/Q4CT69
Fundamental Mathematical Concepts
![Fundamental Mathematical Concepts](/publications/774/868?media=Image:BirthdayProblem_fmc-25600.png)
Developed By
![Developed by](/publications/774/868?media=Image:Mises-25601.jpeg)
Primary Reference
Mises, R. von. "Über Aufteilungs--und Besetzungs-Wahrscheinlichkeiten." Revue de la Faculté des Sciences de l'Université d'Istanbul, N. S. 4, 145-163, 1939. Reprinted in Selected Papers of Richard von Mises, Vol. 2 (Ed. P. Frank, S. Goldstein, M. Kac, W. Prager, G. Szegö, and G. Birkhoff). Providence, RI: Amer. Math. Soc., pp. 313-334, 1964.