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Lab Report

Dice Probability:

Is even or odd more prevalent

 

Abstract:

This experiment was designed to see whether even or odd would show more frequently to determine which would be better to bet on or increase your chances of perhaps winning certain games. The method I chose was I visited a site which generates two dice and rolls them at random to produce a number, and then for each roll I recorded the number that was shown and then incremented the even or odds by one depending on which number it was. I did this 100 times and recorded the results in a chart format for easier read. The experiment was quite an interesting find as I expected even to be more prevalent or a close race however it seems that the opposite turned out true.

 

Introduction: In this experiment we took two dice and we wanted to see which number type would appear more often between the two, evens or odds? The reason for this was that the result would indicate which would be more beneficial in choosing when poised with the option such as at a gambling event etc. Now of course that doesn’t mean choosing this option will guarantee your victory, it just may slightly better your odds is all. Rolling a pair of dice 100 time will dictate which type of numbers (even or odd) will be a “better” choice to make when choosing between the two.

Materials:

 

  • Computer
  • Recording materials (pen and paper/excel etc something to record the rolls)
  • Website which would allow you to roll your dice (https://www.random.org/dice/)

 

Methods:

  1. Open the website and select the number 2 for the amount of dice you want to roll at once.
  2. Once you do you should be able to roll your dice an unlimited of times (up to 100 for this experiment).
  3. Record each roll, Write/type the number displayed by the two dice, and then record whether it’s even or odd. If it’s even or odd increment it by one and continue this process till you roll 100 times.

 

Results:

 

 

 

 

Rolls Number Even(#) odd(#)
1 5 0 1
2 9 0 2
3 5 0 3
4 5 0 4
5 7 0 5
6 5 0 6
7 9 0 7
8 6 1 7
9 2 2 7
10 3 2 8
11 2 3 8
12 4 4 8
13 8 5 8
14 4 6 8
15 11 6 9
16 10 7 9
17 7 7 10
18 10 8 10
19 6 9 10
20 7 9 11
21 5 9 12
22 6 10 12
23 9 10 13
24 6 11 13
25 8 12 13
26 7 12 14
27 7 12 15
28 5 12 16
29 10 13 16
30 11 13 17
31 7 13 18
32 8 14 18
33 7 14 19
34 7 14 20
35 6 15 20
36 7 15 21
37 11 15 22
38 5 15 23
 39 6 16 23
40 8 17 23
41 7 17 24
42 10 18 24
43 4 19 24
44 5 19 25
45 9 19 26
46 9 19 27
47 12 20 27
48 7 20 28
49 6 21 28
50 7 21 29
51 11 21 30
52 9 21 31
53 8 22 32
54 8 23 32
55 4 24 32
56 7 24 33
57 2 25 33
58 9 25 34
59 11 25 35
60 4 26 35
61 5 26 36
62 7 26 37
63 2 27 37
64 4 28 37
65 10 29 37
66 6 30 37
67 6 31 37
68 3 31 38
69 7 31 39
70 7 31 40
71 2 32 40
72 7 32 41
73 4 33 41
74 6 34 41
75 11 34 42
76 12 35 42
77 6 36 42
78 6 37 42
79 7 37 43
80 7 37 44
81 5 37 45
82 7 37 46
83 3 37 47
84 7 37 48
85 6 38 48
86 7 39 49
87 10 40 49
88 4 41 49
89 6 42 49
90 5 42 50
91 11 42 51
92 7 42 52
93 8 43 52
94 6 44 52
95 8 45 52
96 10 46 52
97 4 47 52
98 8 48 52
99 10 49 52
100 6 50 52

 

 

Analysis:

As you can see, this table shows that after 100 tries it seems that it would be better off to bet on odd as being the more common numbers to show when rolling a dice. However, it’s quite close but it wasn’t that way near the beginning of the rolls. Referring to the table we can see that it was heavily favored towards odd from the beginning till near the end where even began to catch up. According to Laura j. Bonnet’s study “May the odds be forever in your favor” she states that “Probability and chance are essential concepts both within statistics and within real life. Even a basic understanding of probability enables us to comprehend weather reports, sports results, the chance of being struck by lightning, winning the lottery and so on.” Probability is used everywhere even in minute situations such as determining if even or odd appears more.

Conclusion:

The experiment was designed to determine the probability of evens to odds when rolling two dice. We wanted to test which would appear more often evens or odds and it turned out that odd had won but by a miniscule amount of two. An odd number had been rolled 52 times whereas an even number was rolled 50 times. This means that when rolling two dice an odd number has a higher probability of appearing than an even number so when making your roulette choice you might have a better chance in picking odd.

 

 

 

 

 

 

 

 

 

 

 

References

 

 

  • Bonnet, B.L., (2018) May the odds be ever in your favour. Teaching Statistics An international journal for teachers, 40(3), 94-97
  • Haahr, M. (n.d.). True Random Number Service. Retrieved from https://www.random.org/dice/