B82, 42a, Probability problems: Dice games for two players part 1 of 2 (Student view), Grade 6, April 29, 2004, raw footage [video]. Retrieved from https://doi.org/doi:10.7282/t3-mtf2-xx81
DescriptionThis was the first session that 6th grade students from the Plainfield, NJ district explored probability through dice games in an after-school enrichment program. In this video (video 42a, part 1 of 2) the first Dice game is introduced by researcher Arthur Powell. This video follows a group of students (Jerel, Chris, David and Dante) as they work on the following problem:
Activity 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?
In this game, a single die is rolled. Player A gets a point if the die lands on 1, 2,3, or 4, while Player B gets a point if the die lands on 5, or 6. The first player to get 10 points wins the game. [Note: The game favors Player A with a 2/3probability of winning a point and a probability of approximately .935 of winning a game.]
After the first game the students conclude that the game wasn’t fair, they are given an opportunity to create their own and make it fair. Each group works to create a fair game. Dante and David create their own fair game. In Chris’ “game” player A gets a point for rolling an odd number while player B gets a point for rolling an even number based on complementary events (i.e., when one event occurs the other can not; e.g., when a player A rolls an even he gets a point and player B gets 0.). [Note: This is a fair game.] In Jerel’s “game” on the other hand a player gets a point for rolling less than a 6. They play Chris’s game and Chris wins as Player A; Jerel concludes that the game was both challenging and fair. Chris and Jerel both cite the close score as evidence that the game is fair. They decide to play Jerel’s game with Chris keeping the scores.
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 Captured2004-05-10
Local IdentifierB82-20040429-PLHUB-SV-IML-GR6-PROB-DICE-RAW
Related Publication Type: Related publication Label: Ph.D dissertation references the video footage [TITLE OF VIDEO B??, ..] Date: 2008 Author: Shay, Kathleen B. (Rutgers Graduate School of Education)