When probability trees don't work

Chan, K. C. and Lenard, C. T. and Mills, T. M. (2016) When probability trees don't work. International Journal of Mathematical Education in Science and Technology, 47 (6). pp. 972-976. ISSN 0020-739X


Tree diagrams arise naturally in courses on probability at high school or university, even at an elementary level. Often they are used to depict outcomes and associated probabilities from a sequence of games. A subtle issue is whether or not the Markov condition holds in the sequence of games. We present two examples that illustrate the importance of this issue. Suggestions as to how these examples may be used in a classroom are offered.

Statistics for USQ ePrint 34025
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Restricted access to published version in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Business, Education, Law and Arts - School of Management and Enterprise
Date Deposited: 23 Apr 2018 05:03
Last Modified: 03 Sep 2018 04:46
Uncontrolled Keywords: Markov condition; conditional probability; teaching probability; simulation
Fields of Research : 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970113 Expanding Knowledge in Education
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1080/0020739X.2015.1124932
URI: http://eprints.usq.edu.au/id/eprint/34025

Actions (login required)

View Item Archive Repository Staff Only