B86, 44a, 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-v8s8-9s07
DescriptionThis was the second session that 6th grade students from the Plainfield, NJ district explored probability through dice games in an after-school enrichment program. In this video (part 1 of 2, 44a) the second Dice game is introduced by Researcher Alice Alston. This video follows the students (Partners: Adanna and Justina)as they work on the following problem:
Dice games #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? Does It Matter Which Numbers Are Assigned to Each Player?
[Note: The game favors Player B with a ⅔ probability of winning a point and a probability of approximately .935 of winning a game.]
This video follows Justina as she works with her partner Adanna on the 2 ordinary dice game. Justina initially thought that the two dice game was unfair as Player A has more numbers than Player B. However, Player B kept winning the game when she and her partner played. Justina creates a sample space to keep track of the number of ways each sum can be obtained. Justina’s sample space had 21 outcomes; she notices that there is only one way to get a sum of 11 but more ways to get a sum of 6. Justina decides the game is unfair because player B has 13 possible ways which is more than the 8 possible ways for player A. Justina said 21 is an odd number, she claims, the game cannot be fair with an odd number because the dice doesn’t have ½ on it. (the discussion about how to make the game fair is going to happen in part 2 of 2; video 45a)
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 IdentifierB86-20040505-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)