b’Subject: Mathematics’
b’Topic: Dice (Law of Large Numbers) Project’
b”
Math 1001: Project – Law of Large Numbers Name: _________________________
Assigned Monday, October 26, 2020
In this project, you are going to be rolling two dice and adding the sum on the dice. We are going to explore the concept of the “Law of Large Numbers”. You can print this out and write on it or type right into this page. Since this is a project (worth 20% of your grade), it needs to be done in a nice and neat format. I have put a copy of graph paper in the content area if you would like to have more room for your graphs. If I can’t read your writing, I will assume the answers are wrong. It must be turned into the drop box by Friday, November 13, 2020 by 11:59 pm. There will be 10 points per day (including weekends) penalty for late projects.
Look back through your notes if you need to for definitions to see how to make a frequency distribution table, etc.
Directions:
Roll #  Total  Parity  Roll #  Total  Parity  
1  26  
2  27  
3  28  
4  29  
5  30  
6  31  
7  32  
8  33  
9  34  
10  35  
11  36  
12  37  
13  38  
14  39  
15  40  
16  41  
17  42  
18  43  
19  44  
20  45  
21  46  
22  47  
23  48  
24  49  
25  50 
For rolls #1 – 25: For rolls #26 – 50:
Number of 2s: ______________ Number of 2s: _______________
Number of 3s: ______________ Number of 3s: _______________
Number of 4s: ______________ Number of 4s: _______________
Number of 5s: ______________ Number of 5s: _______________
Number of 6s: ______________ Number of 6s: _______________
Number of 7s: ______________ Number of 7s: _______________
Number of 8s: ______________ Number of 8s: _______________
Number of 9s: ______________ Number of 9s: _______________
Number of 10s: ______________ Number of 10s: _______________
Number of 11s: ______________ Number of 11s: _______________
Number of 12s: ______________ Number of 12s: _______________
TOTAL SHOULD BE 25. TOTAL SHOULD BE 25.
Number of even #s: Number of even #s:
Roll #  Total  Parity  Roll #  Total  Parity  
51  76  
52  77  
53  78  
54  79  
55  80  
56  81  
57  82  
58  83  
59  84  
60  85  
61  86  
62  87  
63  88  
64  89  
65  90  
66  91  
67  92  
68  93  
69  94  
70  95  
71  96  
72  97  
73  98  
74  99  
75  100 
For rolls #51 – 75: For rolls #76 – 100:
Number of 2s: ______________ Number of 2s: _______________
Number of 3s: ______________ Number of 3s: _______________
Number of 4s: ______________ Number of 4s: _______________
Number of 5s: ______________ Number of 5s: _______________
Number of 6s: ______________ Number of 6s: _______________
Number of 7s: ______________ Number of 7s: _______________
Number of 8s: ______________ Number of 8s: _______________
Number of 9s: ______________ Number of 9s: _______________
Number of 10s: ______________ Number of 10s: _______________
Number of 11s: ______________ Number of 11s: _______________
Number of 12s: ______________ Number of 12s: _______________
TOTAL SHOULD BE 25. TOTAL SHOULD BE 25.
Number of even #s: Number of even #s:
Create a probability frequency distribution using the numbers data above.
Outcomes
(Sum) 
Probability
Rolls #125

Probability
Rolls #150

Probability
Rolls #175

Probability
Rolls #1100

What should the probability (expected value) be? 
2  
3  
4  
5  
6  
7  
8  
9  
10  
11  
12  
Total  1  1  1  1  1 
Part A: Once you have completed the table, answer the questions below.
Part B: Refer back to the probability frequency distribution table above.
Part C: Create a probability frequency distribution using the parity data above.
Outcomes
(Parity) 
Probability
Rolls #125

Probability
Rolls #150

Probability
Rolls #175

Probability
Rolls #1100

What should the probability (expected value) be? 
Even  
Odd 
Refer back to the table giving the parity probability frequency.
Part D: Draw a bar graph using the sum of the dice for 100 rolls and the expected value (the last column) of the sum for rolling two dice. You can use the graph on the next page.
Draw another graph using the parity values. You can use the graph on the next page.
EXAMPLE:
Refer to your graphs to answer the questions below.
Dice Rolls
Parity
RUBRIC FOR PROJECT:
Correct counting or rolls for each group of 25: 10%
Probability Frequency Tables: 50%
Questions (including grammar and punctuation): 40%
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