Description
TitleB91, 46b, Probability problems: Dice games for two players (Work view), Grade 6, May 5, 2004, raw footage
PublisherNew Brunswick, N.J.: Robert B. Davis Institute for Learning, 2004-05-05, c2004-05-05
DescriptionThis was an interview following the second session that 6th grade students from the Plainfield, NJ district explored probability by playing dice games in an after-school enrichment program. In this video, Chris L and Jerel discuss their thought process through completing Dice game #1 and Dice game #2. This video footage captures the papers/work during the interview.
Dice game #1: A Game With One Die: Roll one die. If the die lands on a 1, 2, 3 or 4, player A gets one point (and player B gets 0). If the die lands on 5 or 6, player B gets one point ( and player A gets 0). Continue rolling the die. The first player to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair? [Note: The game favors Player A with a 2/3probability of winning a point and a probability of approximately .935 of winning a game.]
Dice game #2: Roll two dice. If their sum is 2, 3, 4, 10, 11, or 12, player A gets one point (and player B gets 0). If their sum is 5, 6, 7, 8, or 9, player B gets one point (and player A gets 0). Continue rolling the dice. The first person to get ten points is the winner. (1) Is this a fair game? Why or why not? (2) Play the game with a partner. Do the results of playing the game support your answer? Explain. (3) If you think the game is unfair, how could you change it so that it could be fair? [Note: The game favors Player B with a ⅔ probability of winning a point and a probability of approximately .935 of winning a game.]
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.
Date Captured2004-05-05
Local IdentifierB91-20040505-PLHUB-WV-IML-GR6-PROB-DICE-RAW
Related Publication
Type: Related publication
Label: Ph.D dissertation references the video footage
Date: 2008
Author: Kathleen D. Shay (Rutgers, the State University of New Jersey)
Name: Tracing Middle School Students' Understanding of Probability: A Longitudinal Study