MATH201 – What are the Chances Assignment – Devin Sloan
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School
Bryant & Stratton College *
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Course
201
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
3
Uploaded by brownsugah31
Module 5 - What are the chances? Assignment Template
Use a six-sided die and what you have learned so far in your course to help you answer the questions below. If you do not have a die to use at home, you can use the virtual die via the link below. Virtual Six-Sided Die 1.
In 150 words, describe the difference between theoretical
and experimental
probability. Which do you think is more reliable and why?
When it comes to probability, there are two kinds: experimental and theoretical. Because experimental probability is based on actual experiment results, it is an extremely trustworthy method for determining the possibility of an event occurring. By assessing the potential possibilities of the experiment, we may compute the probability of an event occurring. The experimental probability is calculated using a simple and effective procedure that involves calculating the ratio of the number of times a specific event occurred to the total number of trials done. In general, experimental probability is a crucial technique for accurately estimating the probability of an event occurring based on empirical data. The formula used to calculate theoretical probability and experimental probability differs. Since it involves carrying out experiments and getting data from actual situations, experimental probability is a more trustworthy approach of gathering probability information. On the other hand, theoretical probability is less precise because it just makes assumptions about possible outcomes. Although it is calculated using mathematical concepts, actual experimentation is not taken into account. Rather than through experimentation, assumptions are used to calculate theoretical probability.
These assumptions are used to quantify the likelihood of an event happening, allowing for a reliable assessment of the likelihood without doing an actual experiment. The number of desired outcomes must be divided by the total number of possible outcomes in order to calculate probability. Because experimental probability uses actual facts rather than conjecture, it is more accurate.
2.
Determine the theoretical probability
of rolling a two with one standard die. Write this probability in three equivalent forms: as a fraction
, a decimal
(rounded to three places) and a percentage
(rounded to one decimal place).
One normal die has six possible outcomes; hence the following is the theoretical result: Fraction: 1/6 Decimal: 0.167 Percentage: 16.7%
3.
Now, take your die and roll it the number of times that is equal to your age in years. Create a table below to document each roll of the die. Use this trial data to determine the experimental probability
of rolling a two on the die. Write this probability in three equivalent forms: as a fraction
, a decimal
(rounded to three places) and a percentage
(rounded to one decimal place).
5
4
5
3
6
2
4
2
3
6
4
6
2
3
5
4
2
3
3
Because the two was rolled four times out of a possible 19 times, the experimental Probability is determined as followed:
Fraction: 4/19 Decimal: 0.211 Percentage: 21.1%
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