Description
TitleB87, 45a, Probability problems: Dice games for two players (Student 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 video is a continuation of 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 2 of 2, video 45a) the second Dice game is introduced by Researcher Alice Alston. This video follows the student (Justina working with her partner Adanna) as they work on the following problem:
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? 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. In video 44a, part 1 of 2, Justina made a sample space of 21 outcomes. Justina explains that there is only one way to get 12 (6+6). So, she took away the sum of 12 from player A. That left Player A with seven outcomes comprising five sums, and Player B with thirteen outcomes comprising five sums. With a total of 20 outcomes, Justina gives each player 10 outcomes to make the game fair. In order to distribute 10 outcomes to each player, Justina makes a chart that shows the number of ways to obtain each sum. Justina’s fair game gives Player A a point for 3, 6, 8, 10, and 11 and Player B gets a point for 2, 4, 5, 7, and 9. Neither player scores with a roll of 12.
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 IdentifierB87-20040505-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)
Name: TRACING MIDDLE SCHOOL STUDENTS' UNDERSTANDING OF PROBABILITY: A LONGITUDINAL STUDY
Reference: https://doi.org/doi:10.7282/T3BR8SGM