Bayes’ theorem

Starting with a few statements and building up more mathematics from these claims is one technique in mathematics. Axioms are the foundational statements. A mathematical axiom is often anything that is self-evident. Deductive logic is used to establish further claims, known as theorems or propositions, based on a small set of axioms. Probability, a branch […]

Introduction Consider the following scenario: You participate in a dice game with your friends. You create an exhaustive list of all the potential outcomes in the sample space. When one of your friends rolls the dice, he does not reveal the outcome to you. Rather than that, he states that when the two numbers are

The Poisson distribution is a discrete probability characteristic meaning the variable can best take unique values in a given listing of numbers, probably infinite. Poisson distribution measures how usually an event is possible to occur within the “x” time frame. A Poisson random variable “x” defines the number of successes within the test. This distribution

The addition rule for non-mutually exclusive events is applicable when two outcomes are possible and the occurrence of one does not preclude the occurrence of the other.  This scenario differs from the one depicted in the preceding section due to the probability of overlap, P(A and B), which is supplied. Since the addition rule is

Assume you take a random sample of people and measure their heights. You generate a distribution of heights by measuring heights. When you need to know which outcomes are most likely, the spread of potential values and the chance of distinct outcomes, this form of distribution comes in handy. Discrete Distributions Types You may model

The degree of an event’s likelihood is referred to as its probability. There must be some probability attached to an event as it happens, such as when a ball is thrown, a card is drawn, etc. Probability in mathematics is defined as the proportion of desired outcomes to all potential outcomes. Given that the first

Introduction The Addition rules of probability determine the possibility of two simultaneous occurrences. Probability is a field of mathematics that measures the certainty or uncertainty of an event or series of occurrences. The Addition rules of probability specify two formulae, one for the likelihood of either of two mutually exclusive events occurring and the other

A table of Addition is an arithmetic operation that is used to find the sum of two or more numbers. The addition table aids in number addition by generating a certain pattern and arranging the numbers in rows and columns. The addition table allows us to rapidly calculate the sum of two numbers without having

An event that is dependent on preceding events is called a dependent occurrence. The outcomes of prior events have an impact on these occurrences. Two or more interdependent occurrences are defined as dependent events. If one occurrence is changed by chance, the chances are that another will be changed as well. Dependent Events Probability theory