DescriptionAt an after-school session in the middle of their junior year, Ankur, Brian, Jeff, Michael, and Romina were introduced to the World Series problem [the problem statement is below]. The students explored various ways to solve the problem (e.g., list all possibilities, multiplying one half a number of times). Jeff and Romina recall a generalization the group had developed in a previous session for the towers and pizza tasks, 2^n. The group uses 2^n for all of the possibilities of the World Series ending and then use various strategies to determine the probabilities for each outcome. The students consider each case - winning a World Series in four, five, six, or seven games - separately and calculate each probability before moving on to the next. After approximately an hour the students produce an answer to the World Series problem, explain their strategies and justify their solution, and consider the relationship between their numerical results and certain entries in Pascal's Triangle.
The World Series Problem: In a World Series two teams play each other in at least four and at most seven games. The first team to win four games is the winner of the World Series. Assuming that the teams are equally matched, what is the probability that a World Series will be won: a) in four games? b) in five games? c) in six games? d) in seven games?
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Related Publication Type: Related publication Label: Ed.D. dissertation references the video footage that includes B37, World Series problem (student view), Grade 11, January 22, 1999, raw footage Date: 2000 Author: Kiczek, Regina Dockwiler (Rutgers, the State University of New Jersey)
Name: Tracing the development of probabilistic thinking : profiles from a longitudinal study Reference: QA.K62 2000