Conditional probability

An Overview on the Probability Tree

 A probability tree diagram is a visual depiction of the probabilities and outcomes of an event. There are two pieces to a probability tree diagram: nodes and branches. An event is represented by a node. The term “branch” refers to the link between an occurrence and its result. A probability tree diagram can be used […]

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Axiomatic Approach to Probability

When we hear the word “probability,” we often think of abstract ideas that are connected to chance or unpredictability. The idea of probability is difficult to explain in a formal sense; however, the intuition that comes the closest to capturing its essence is that it allows us to evaluate the likelihood or chances that a

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Binary to decimal conversion

The simplest type of number system is binary, which employs only two digits of 0 and 1. (i.e. value of base 2). Because digital electronics only has two states (either 0 or 1), current computer engineers, networking and communication specialists, and other professions favor binary numbers. The decimal number system, on the other hand, is

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COMPOUND EVENTS

Probability is a branch of mathematics that deals with numerical explanations of the chances of something happening or the accuracy of a statement. In general, the probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 indicating certainty. The greater the probability of something happening, the more likely

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Conditional Statement

The conditional statement is a part of mathematical reasoning which is a critical skill that enables students to analyze a given hypothesis without any reference to a particular context or meaning of the particular scenario. In layman’s words, when a scientific inquiry or statement is examined, the reasoning is not based on only a scientist’s

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Continuous Random Variable

There are two types of random variables: continuous random variables and discrete random variables. A random variable is a variable whose value is dependent on all conceivable experimental results. A discrete random variable is defined at an exact value, whereas a continuous random variable is defined throughout a range of values. Define Continuous Random Variable

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Contrapositive Statements

A contrapositive is a form of a conditional statement. It is an outcome statement after exchanging the hypothesis and conclusion of an inverse statement, as the inverse statement is a must in calculating the contrapositive statement. Therefore, we first need to find the inverse statement of any conditional statement present. Now, all we have to

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Converse

Converse statements are the reverse of conditional statements. The term ‘converse’ itself refers to reversed conditions. These statements are used to justify whether the statements converse of conditional statements have the same outcomes or not. In simpler words, these statements swap their hypothesis (conditions) and conclusions (results) for interpretations.  Converse statements are a type of

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Convert Decimal to Octal

A number system is called a positional number system due to the value of each symbol (i.e. digits and alphabets) in a number depending on the position within a number. Numbers can also be the fractional part similar to the decimal used by us. The symbol in the rightmost position of the integer part is

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Discrete Probability Distribution

A discrete Probability Distribution Function is a function that includes some discrete values in its domain. The number of values it includes could be both finite and infinite. It is in no way necessary that these Discrete Probability Distribution Functions may be grouped under the domain of integers but generally this is what is done.

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