Lab Report (Assignment)

The Rolling of Dice                                                                                                                                          The Amount of Points Towards Each Roll

Rene Cuadrado

10/23/18

Abstract: The purpose of this dice experiment is to allow ourselves to throw a pair of dice and see what the results are. The objective for this dice experiment is to roll a pair of dice 100 times. After rolling these pair of dice 100 times, I must record the result from each trial. After recording my results, I must come up with information that I need to prove by analyzing data results. After calculating my data, I calculated the probability of each trial in percentage. Per my results, some of the trials have increased, then decreased.

Introduction:

Have you ever wonder what the probability would be like when you are rolling a pair of dice? Well, I must say, it could be difficult. Probability is defined as the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible. In other words, how likely it is that some event will happen. In this dice experiment, I am looking for how much probability is growing or lessening as I roll these 2 dice. Since there   are six sides on each dice, that means there are different outcomes from each trial for 100 times. This made me come up with my hypothesis, “If I roll the dice 100 times, then the probability would decrease.” I have used 2 dice for this experiment.

Materials	Methods
2 six-sided dice	Roll dice 100 times until complete number are all recorded.

 

Results:

Dice Trials	Probability
7	16.67%
5	11.11%
4	8.33%
6	13.89%
3	5.56%
11	5.56%
11 3	5.56% 5.56%
9	11.11%
8	13.89%
9	11.11%
5	11.11%
3	5.56%
9	11.11%
8	13.89%
4	8.33%
6	13.89%
7	16.67%
3	5.56%
7	16.67%
6	13.89%
10	8.33%
8	13.89%
9	11.11%
10	8.33%

(The complete set of data is in the Appendix)

Summary: During each roll of dice, I have calculated the sum of the points from both dice from each roll to find out the total. Then, I have calculated each total of rolls with the probability to find the percentage to each roll. The percentage can help figure out if my hypothesis is correct or not. The results are also shown in the appendix.

Analysis:

Based on my results, the probability of each trial has started to increase. Then, it has started to decrease. Then it started to increase again, until it ended up decreasing. Looking back at the purpose of this dice experiment, the results gave the analysis a way to give me a clear answer as to which trial will allow the probability to increase or decrease due to the 100 times of rolls I have made. I rolled the dice 100 times so I could be able to calculate the probability of each trial. As I do, the calculation started off at the top and worked its way down. I compared my results to another source called MathWorld and saw that each of its trials have different probable sum calculations and different percentages. Based on what I have done, my hypothesis has proven that the probability would decrease on each trial.

Conclusion:

The probability of each roll of dice, or of each trial, has decrease from top to bottom. The results are completely shown on my data. As I rolled each trial 100 times, the percentage of each trial would sometimes increase and decrease on each roll, as shown in the results, or in the appendix. When compared to other sources, my data shows different style on how I calculated my results and how I performed my work. It is important to know about these kinds of experiments because they could give people like me the courage to know about what to do with an experiment and how to research them and put it all together.

Bibliography: Technical Communication by Mike Markel, 11^th edition, Bedford/Saint Martin’s

Weisstein, Eric “Dice” from MathWorld

Scribd.com – Lab Report Writing for Engineering

Appendix:

Dice Trials	Probability
5+2=7	1/6=16.67%
3+2=5	1/9=11.11%
3+1=4	1/12=8.33%
5+1=6	5/36=13.89%
2+1=3	1/18=5.56%
6+5=11	1/18=5.56%
6+5=11 2+1=3	1/18=5.56% 1/18=5.56%
5+4=9	1/9=11.11%
6+2=8	5/36=13.89%
5+4=9	1/9=11.11%
3+2=5	1/9=11.11%
2+1=3	1/18=5.56%
3+6=9	1/9=11.11%
6+2=8	5/36=13.89%
3+1=4	1/12=8.33%
3+3=6	5/36=13.89%
5+2=7	1/6=16.67%
2+1=3	1/18=5.56%
6+1=7	1/6=16.67%
4+2=6	5/36=13.89%
5+5=10	1/12=8.33%
4+4=8	5/36=13.89%
6+3=9	1/9=11.11%
5+5=10	1/12=8.33%
6+1=7	1/6=16.67%
3+1=4	1/12=8.33%
2+4=6	5/36=13.89%
5+4=9	1/9=11.11%
3+2=5	1/9=11.11%
6+4=10	1/12=8.33%
5+1=6	5/36=13.89%
1+3=4	1/12=8.33%
5+2=7	1/6=16.67%
4+3=7	1/6=16.67%
6+5=11	1/18=5.56%
2+1=3	1/18=5.56%
3+1=4	1/12=8.33%
6+1=7	1/6=16.67%
5+3=8	5/36=13.89%
4+2=6	5/36=13.89%
2+2=4	1/12=8.33%
4+4=8	5/36=13.89%
3+5=8	5/36=13.89%
6+5=11	1/18=5.56%
4+2=6	5/36=13.89%
5+3=8	5/36=13.89%
6+6=12	1/36=2.78%
4+4=8	5/36=13.89%
6+5=11	1/18=5.56%
3+1=4	1/12=8.33%
2+1=3	1/18=5.56%
5+4=9	1/9=11.11%
6+6=12	1/36=2.78%
6+6=12	1/36=2.78%
2+1=3	1/18=5.56%
4+3=7	1/6=16.67%
4+3=7	1/6=16.67%
5+5=10	1/12=8.33%
3+4=7	1/6=16.67%
5+1=6	5/36=13.89%
5+2=7	1/6=16.67%
3+1=4	1/12=8.33%
6+4=10	1/12=8.33%
2+1=3	1/18=5.56%
5+1=6	5/36=13.89%
4+1=5	1/9=11.11%
2+1=3	1/18=5.56%
4+4=8	5/36=13.89%
4+2=6	5/36=13.89%
6+2=8	5/36=13.89%
4+2=6	5/36=13.89%
5+1=6	5/36=13.89%
1+1=2	1/36=2.78%
6+3=9	1/9=11.11%
6+4=10	1/12=8.33%
3+2=5	1/9=11.11%
3+2=5	1/9=11.11%
6+6=12	1/36=2.78%
6+3=9	1/9=11.11%
4+4=8	5/36=13.89%
4+2=6	5/36=13.89%
2+1=3	1/18=5.56%
5+1=6	5/36=13.89%
4+2=6	5/36=13.89%
2+5=7	1/6=16.67%
4+3=7	1/6=16.67%
2+1=3	1/18=5.56%
4+6=10	1/12=8.33%
4+4=8	5/36=13.89%
3+2=5	1/9=11.11%
3+4=7	1/6=16.67%
5+2=7	1/6=16.67%
6+4=10	1/12=8.33%
4+3=7	1/6=16.67%
2+4=6	5/36=13.89%
3+2=5	1/9=11.11%
4+2=6	5/36=13.89%
3+3=6	5/36=13.89%
5+5=10	1/12=8.33%