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## Math and Probabilities - Math's Relation to Probabilities

Math's relation to the probabilities is rather interesting because there is an abstract parallel to probabilities. Many teachers will share mathematical theory as they work diligently with students. Centuries ago the renaissance mathematicians solved many of the problems through mathematical equations and began teaching the results of these detailed studies with their students. Probability itself is based in mathematics as the equations are very similar to algebra I, algebra II, calculus I, calculus II, calculus III, geometry and trigonometry. These all pertain to the initial problem, move into solving the problem and revealing the outcome.

The use of triangles is of utmost importance and seems to play a very important role in the computation leading to the end result. Teachers and students together work diligent to reach an outcome to any problem presented, but there are variables involved too. Like with geometry, algebra, and calculus questions presented with the discovery of the probably also use mathematical equations to solve the problem and deduct the logical conclusion. Many times with probabilities the outcome is unexpected and therefore a surprise to the student who was expecting a different outcome.

Students think of mathematical probabilities as more of an educated guess as to the outcome of any given situation. An example is the question, what are the chances of rain on a bright sunny day when no clouds are in sight? What is the opportunity of snow falling in Hawaii during the course of a calendar year? How long will it take for a lit six-inch candle to melt? Is this a certain outcome or an uncertain outcome? The question is what is the probability? Students will at times refer to the outcome of the probability in the form of a percentage.

When the student assigns a probability of zero to a given event, this will indicate the event will never occur. When the student assigns a probability of one to a given event, this will indicate will occur. To the vast population of students the concept of mathematical probabilities really comes down to an educated guess based on the information received through the use of mathematical equations. Therefore a student's conclusion becomes a subjective probability that reflects a student's opinion about the likelihood of any given event.

## Binomial Probability Distribution

There are two facets of school studies that makes every student cringe when the times comes. Those two school studies are mathematics and science. Now it is not the subjects as a whole, it is the equations, formulas, and speculations that continue and are never a definitive response. Binomial probability distribution, like calculus, algebra, trigonometry and the many scientific equations that a student is facing can and is difficult to understand. All probabilities are just as they are implicating, meaning that there is always a variable to each equation. The binomial probability distribution is a combination of conditions that must be...

## Calculate Probabilities

To calculate probabilities is a way to provide insight into everything from the games to the medicine. To start at the very beginning is to start with pure logic. Probability is the definition of a favorable case. To calculate probabilities is to gather the information and then try to logically size it to fit a grand scheme scenario. The interesting facet is that all probabilities either are successes or are failures, as there is no in between. This is the difficulty with logical conclusions. An example of this is on a very cold and blustery day in the middle of the...

## Calculate Probability

Calculating the probability is the likelihood something will happen. It is a measure to compare the desired events and weigh that against the total number of outcomes expected. Many students have difficulty in calculating the probability but that is simply because it can very, very complex. The problems with trying to calculate the probability is because the outcome can present itself in the form of a fraction, the form of a decimal, or the form of a percentage. There really is no way any student can second guess how the outcome will present itself and this is why students have...

## Examples of Probability

The examples of probability are many. Students think of mathematical probabilities as more of an educated guess as to the outcome of any given situation. An example is the question, what are the chances of rain on a bright sunny day when no clouds are in sight? What is the opportunity of snow falling in Hawaii during the course of a calendar year? How long will it take for a lit six-inch candle to melt? Is this a certain outcome or an uncertain outcome? What are the risks of probability? Students will at times refer to the outcome of...

## Math Probabilities

Math probabilities require at least a basic understanding of the working surroundings. Probability is an important discussion in the world of mathematics because all things possible are involved. All incidents are a game of chance opportunity whether it is a positive experience or not a positive experience. The end result is an experience of some kind. What is the probability, mathematically of course, of a person struck by lightning? Part of the answer is relative to if the person is indoors or outdoors when the lightning strikes are occurring. The final solution is still the same. The person has...

## Normal Probability Distribution

The method of normal probability distribution by definition deals with the idea of a continuous random variable. What this means is the random variable can take on an infinite number of values, with the property that there are no gaps between the values. The time of day or the speed a car is traveling is only one small example. This is the Gaussian distribution which refers to a family of distributions that are bell shaped. Though symmetric in nature and a peak at the mean, the probability distribution decreases before and after the mean smoothly. An example of the normal...

## Probabilities Basics

The examples of probabilities basics are many. Students think of mathematical probabilities as more of an educated guess as to the outcome of any given situation. An example is the question, what are the chances of rain on a bright sunny day when no clouds are in sight? What is the opportunity of snow falling in Hawaii during the course of a calendar year? How long will it take for a lit six-inch candle to melt? Is this a certain outcome or an uncertain outcome? What are the risks of probability? Students will at times refer to the outcome...

## Probability and Random Processes

The theory behind probability and random processes is a powerful tool to help electrical students and computer students to explain the model, analyze, and design technology they are to develop. The basics of probability and random process are both discrete variables and a continuous random variable. Teachers can teach given topics as the poisson process, the stationary process, the time reversibility process, the ergodicity process, and the Markova process. These are all formal mathematical explanations to help the student understand further why the study of probability and random processes is important. A few key ideas are the finite number of random...

## Probability and Random Variables

Teachers and professors teaching the concept of probability and random variables have a number of resources they can turn to for advice. This will help the structure of the classroom and offer concrete guidance to the students who choose to enroll in the class. Concepts that the teacher will attempt to discuss are random variables, the distribution of random variables, the Bernoulli mathematics of probability, the concept of variance, and the sample mean. Other topics of probability and random variables will include class discussion relating to continuous random variables, the discrete random variable, the cumulative distribution function, the continuous random...

## Probability Books

To understand probability books one must understand the concept of probability first. In a sense it is simply a game of chance. It is gambling and playing the odds at any given time. Keeping this in mind there are a number of books to read that will help to put this all in perspective for any students experiencing difficulty understand the concept. The first book is Taking Chances: Winning with Probability written by John Haigh, Oxford University Press. The author offers this book goes to a great length to explain in simple language, not the technical or mathematical lingo that many...

## Probability Concepts

In the study of probability concepts there are three known concepts, the classical interpretation of probability, the empirical probability, and the subjective probability. These three plays a role on a daily basis and teachers have a much easier time trying to teach this one aspect of probability concepts than with any other part dealing with probability. From a teachers perspective we will try to examine what they are and how they impact the student's life and everyone's life. The first concept in probability concepts is the classical interpretation of probability which stems from the experiments in physics though it does not...

## Probability Distribution

By mere definition in mathematics a probability distribution assigns to every interval of the real numbers a probability, so the probability axioms are satisfied. In technical terms, a probability distribution is a probability measure whose domain is the borel algebra on the reality. The whole concept of probability distribution and the random variables underlies the mathematical discipline of probability theory and the science of statistics. When the student is looking at a graph the spread divides equally beginning with a line slope to the left side of the graph. The slope line will gradually tilt upward until reaching a peak...

## Probability Distribution Function

Probability distribution function in simple terms is more akin to the end justifies the means. As a teacher begins a class the probability of every single student passing the course is a relative question. The hope of course is every single student will pass the course, but the outcome in the end never is as was in the beginning. If this probability distribution function were expressive on a graph it will appear as a bell shape because the probability in the beginning of the classroom session will show the same as the end of the classroom session with the...

## Probability Distribution Table

Compared to probability calculators, the traditional format of distribution tables have the advantage of presenting many of the values at the same time offering the student a chance to examine and quickly explore many of the ranges of probabilities. The probability distribution table comes in various forms such as the student's table, and the Chi-square table. One of the most interesting aspects of these probability distribution tables is the standard shape. The equations of these probability distribution tables are ultimately in the bell shape graph as this represents the clearer image to study the results. The probability distribution table...

## Probability for Dummies

Probability for dummies is no different from a host of other books of its type. These interesting and innovative books are in everyday language for all to understand. It is for all individuals whether they are teachers or students to help enhance the learning process. However, there are sanctioned schoolbooks in the subject of probabilities of all types they are sometimes difficult to read, comprehend, and understand. These are not sanctioned schoolbooks, but they are an enhancement to the sanctioned schoolbooks. Probability for dummies explains in detail the very basics in a very simply terms and offers detailed examples to...

## Probability Games

Probability is one of those mathematical areas that receives very little attention comparing to algebra I, algebra II, calculus I, calculus II, calculus III, geometry, and trigonometry. However, it is still a subject that plays a role in the student's life every day. Keeping this in mind there are probability games that most students will find fascination and hours of enjoyment. One of those games is the Game of Pig. This probability games is a unique construction for two or more students interacting with each other to draw on experience and learn while they are playing. This is a game...

## Probability History

The probability history has its roots in the early 1650 - 1700 during what later refers to the mathematical scientific revolution. Once again famous individuals such as Galileo, Todhunter, and Newton's teachings and theories came into play. The first book called Hacking by Huygens is what gave scientific and mathematical rise to the more in depth study of probability. The study of probability soon became a way of expressing valuable knowledge and attempting to make sense out of that which did not. It was a mathematical theory on the acceptance of what we refer to as common sense...

## Probability Problems

Probability problems by definition are the branch of mathematics that studies the eventful likelihood of an occurrence of random events in order to predict the behavior of definitive systems. Therefore, the theory of probability would be an exact branch of the mathematics field. This deductive and logical approach is a science that studies the uncertain quantities related to the random events. A good example of this type of probability problem is the eventful birth of a baby. The many months leading to the birth of a baby will find the happy couple with many decisions to make all based on...

## Probability Questions

Students think of mathematical probability questions as an educated guess as to the outcome of any given situation. An example is the question, what are the chances of rain on a bright sunny day when no clouds are in sight? What is the opportunity of snow falling in Hawaii during the course of a calendar year? How long will it take for a lit six-inch candle to melt? Is this a certain outcome or an uncertain outcome? The question is what is the risk of probability? Students will at times refer to the outcome of the probability in the...

## Probability Software

There is software out there pertaining to probabilities, but students must pursue to find the better ones. The persistence of the student will help to find the computer software program that works in the areas that the student is interested. The students as well as the teachers can find thorough and efficient probability software in just about any store that sells software programs. Even a few of the office supply stores now carry probability software where they once avoided these programs. Some of the software programs are age and grade sensitive so the students must read the outside labels to...

## Probability Tutors

Probability tutors are a select chosen few in the mathematical probability field who offer their personal expertise services to all students requesting assistance in the understanding of the concept of probabilities. There are times when students try so hard to absorb, comprehend and understand the all the various concepts of probability, but still have difficulty. Why these students are having a difficult time is hard to say. There are several of reasons why they are have a difficult time trying to understand and this is why sooner or later the student will reach out for extra assistance. The world of...

## Random Probability

The mathematics of random probability is what it assumes, random by nature. Random probability is representative of formal term mathematical concepts that are not always representative of what they imply. Many of the rules of mathematics, combined with logic are more of a matter of interpretation rather than a translation of problematic issues to solve. Sometimes the random problems placed before the classroom students have variables therefore making it more difficult to solve. The issues that make random probability difficult are the mere point that all resolvable answers are in other terms other than a mathematical equation. A simple, easy recognizable...

## Understanding Probability

It is important to have a clear and precise understanding of probability, as it involves everyday life in every waking aspect. The difficulty we engage in is the understanding of probability as the belief of the law of averages. This stems from the belief that the outcome of an event in inevitable and nothing will stop it from happening. A wishing for snow to appear is not going to make it happen because it is a random act of nature, as is wind, sunshine, and rain. Mathematicians and scientists can neither wish an event to occur any more than...