B90, 46a, Probability problems: Dice games for two players (Student view), Grade 6, May 5, 2004, raw footage [video]. Retrieved from https://doi.org/doi:10.7282/t3-emfc-rc34
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.
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.]
Local IdentifierB90-20040505-PLHUB-SV-IML-GR6-PROB-DICE-RAW
Related Publication Type: Related publication Label: Ph.D dissertation references the video footage Date: 2008 Author: Kathleen B. Shay (Rutgers, the State University of New Jersey)
Name: Tracing Middle School Students' Understanding of Probability: A Longitudinal Study