This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and then do then do the following:  take the first number rolled and subtract 2 times the second number rolled. Regardless of who rolls, Player A gets 3 points if the product is greater than or equal to 0 (i.e. it is zero or positive); Otherwise Player B gets 1 points. The players may or may not take turns rolling the dice as it does not matter who is rolling. Any player may score on any roll, and every roll will result in a score.   Play the game by rolling the dice 25 times. For each turn, keep a record of both dice and the resulting answer and the points scored, according to the rules above. Tally the points and calculate the final score for each player.  Remember, someone gets a point for each turn, depending on the numbers rolled. (One does not have to be rolling to receive the points.)  (Note: you may test the game by yourself by doing all of the 25 rolls yourself and just giving the points to the appropriate player, A or B, or you may play the game with another person (one as player A and the other as player B) with each of you taking turns to roll a total of 25 times and giving the points on each roll to the appropriate player, A or B, according to the rules above).   Expand and use the following to keep track:   Create the sample space for this game:  (Use data collected from the image to help you) Sample Space:

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 79E
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This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and then do then do the following:  take the first number rolled and subtract 2 times the second number rolled. Regardless of who rolls, Player A gets 3 points if the product is greater than or equal to 0 (i.e. it is zero or positive); Otherwise Player B gets 1 points. The players may or may not take turns rolling the dice as it does not matter who is rolling. Any player may score on any roll, and every roll will result in a score.

 

Play the game by rolling the dice 25 times. For each turn, keep a record of both dice and the resulting answer and the points scored, according to the rules above. Tally the points and calculate the final score for each player.  Remember, someone gets a point for each turn, depending on the numbers rolled. (One does not have to be rolling to receive the points.)  (Note: you may test the game by yourself by doing all of the 25 rolls yourself and just giving the points to the appropriate player, A or B, or you may play the game with another person (one as player A and the other as player B) with each of you taking turns to roll a total of 25 times and giving the points on each roll to the appropriate player, A or B, according to the rules above).   Expand and use the following to keep track:

 

Create the sample space for this game:  (Use data collected from the image to help you)

Sample Space:

 

 

 

Numbers rolled:
Outcomes:
(list what is on both
dice, in ordered
Player A
(points)
Player B
(points)
(1st number minus
two times second
rolled)
number)
Total score/# of
(show all 25 rolls)
rolls
(3,4)
(6,6)
(4,3)
(2,2)
(1,1)
(3,2)
(6,4)
(5,1)
(6,6)
(6,6)
(2,2)
(2,3)
(4,4)
(1,4)
(3,2)
(2,1)
(4,4)
(6,4)
(6,5)
(4,4)
(1,6)
(1,6)
(2,1)
(2,6)
(4,3)
3-2 * 4 = -5
None
1
6-2 * 6 = -6
None
1
4-2 * 3 = -2
None
1
%3D
2-2 * 2 = -2
None
1
1-2 * 2 = -1
None
1
3-2 * 2 = -1
None
1
6-2 * 4 = -2
None
1
5-2 * 1 = 3
3
None
%3D
6-2 * 6 = -6
None
1
6-2 * 6 = -6
None
1
2-2 * 2 = -2
None
1
2-2 * 3 = -4
None
1
4-2 * 4 = -4
None
1
1-2 * 4 = -7
None
1
3-2 * 2 = -1
None
1
2-1 * 2 = 0
3
None
4-2 * 4 =-4
None
1
6-2 * 4 =-2
None
1
6-2 * 5 = -4
None
1
4-2 * 5 =-4
None
1
1-2 * 6 = -11
None
1
1-2 * 6 = -11
None
1
2-2 * 1 = 0
3
None
2-2 * 6 = -10
None
1
4-2 * 3 = -2
None
1
Transcribed Image Text:Numbers rolled: Outcomes: (list what is on both dice, in ordered Player A (points) Player B (points) (1st number minus two times second rolled) number) Total score/# of (show all 25 rolls) rolls (3,4) (6,6) (4,3) (2,2) (1,1) (3,2) (6,4) (5,1) (6,6) (6,6) (2,2) (2,3) (4,4) (1,4) (3,2) (2,1) (4,4) (6,4) (6,5) (4,4) (1,6) (1,6) (2,1) (2,6) (4,3) 3-2 * 4 = -5 None 1 6-2 * 6 = -6 None 1 4-2 * 3 = -2 None 1 %3D 2-2 * 2 = -2 None 1 1-2 * 2 = -1 None 1 3-2 * 2 = -1 None 1 6-2 * 4 = -2 None 1 5-2 * 1 = 3 3 None %3D 6-2 * 6 = -6 None 1 6-2 * 6 = -6 None 1 2-2 * 2 = -2 None 1 2-2 * 3 = -4 None 1 4-2 * 4 = -4 None 1 1-2 * 4 = -7 None 1 3-2 * 2 = -1 None 1 2-1 * 2 = 0 3 None 4-2 * 4 =-4 None 1 6-2 * 4 =-2 None 1 6-2 * 5 = -4 None 1 4-2 * 5 =-4 None 1 1-2 * 6 = -11 None 1 1-2 * 6 = -11 None 1 2-2 * 1 = 0 3 None 2-2 * 6 = -10 None 1 4-2 * 3 = -2 None 1
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