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B84, 42b, 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/t3-2wn3-1z65
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TitleB84, 42b, Probability problems: Dice games for two players part 1 of 2 (Student view), Grade 6, April 29, 2004, raw footage
PublisherNew Brunswick, N.J.: Robert B. Davis Institute for Learning, 2004-05-10, c2004-05-10
Persistent URLhttps://doi.org/doi:10.7282/t3-2wn3-1z65
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 42b, part 1 of 2) the first Dice game was introduced by researcher Arthur Powell. This video follows a group of students (Justina, Adanna; Sha'Nae, Kianja; Lorraine, Shanei C) 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 2/3 probability of winning a point and a probability of approximately .935 of winning a game.]
The students conclude that the player with more outcomes has the advantage and determine that a fair game should give 3 outcomes to each player. Kianja suggests to make the game fair by weighting the outcomes so that the point system is equal between the players. This is continued in video 43b, part 2 of 2.
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 2/3 probability of winning a point and a probability of approximately .935 of winning a game.]
The students conclude that the player with more outcomes has the advantage and determine that a fair game should give 3 outcomes to each player. Kianja suggests to make the game fair by weighting the outcomes so that the point system is equal between the players. This is continued in video 43b, part 2 of 2.
Math ToolWorksheet with problem statements, Fair dice
Math StrandProbability
Math ProblemDice games
NCTM Grade Range6-8
NCTM Content StandardData analysis and probability
NCTM Process StandardProblem solving, Communication
Forms of Reasoning, Strategies and HeuristicsGuessing and checking, Making conjectures
Grade Level6
Student ParticipantsKianja (student), Justina (student), Adanna (student), Sha' Nae (student), Shanei (student)
MediatorsMaher, Carolyn Alexander (Researcher), Powell, Arthur B. (Researcher), Alston, Alice (Researcher)
SettingInformal learning
Student GenderFemale
Student EthnicityBlack
Camera ViewsStudent view
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 IdentifierB84-20040429-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)
Name: TRACING MIDDLE SCHOOL STUDENTS' UNDERSTANDING OF PROBABILITY: A LONGITUDINAL STUDY
Reference: https://doi.org/doi:10.7282/T3BR8SGM
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)
Name: TRACING MIDDLE SCHOOL STUDENTS' UNDERSTANDING OF PROBABILITY: A LONGITUDINAL STUDY
Reference: https://doi.org/doi:10.7282/T3BR8SGM