Probability and Statistics

Tautologies, Contradictions and Contingencies

What stream to choose after 10th To determine if an argument is valid or invalid, we’ve used truth tables and the truth assignment test. The same methods can be used to investigate the logical qualities of individual propositions as well as the logical relationships between them. Propositional qualities are discussed here, and several significant logical […]

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Statements and Logical Operators

In mathematics, a statement is a declarative sentence that consists mostly of two direct conclusions. It could be either true or false. The relationship between these statements is defined using logical operators. A logical operator joins two assertions together to form a new one. “AND,” “OR,” “NOT,” “IF…THEN,” and other logical operators are examples. These

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Statement and logical operation

A compounded logical statement has at least one of the logical operations (or connectives) negation, disjunction, or conjunction in it. There are no logical operations in a basic (also known as atomic) logical statement. A truth table in Boolean algebra is a table that shows the truth value of a statement formula for all conceivable

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Simple events

Simple events are events that can only occur exclusively. In other words, they are events that have one outcome. For example, the card selected from a normal deck is a 9 of hearts. This event can only happen in one way. Another way to understand simple events is through sample points and sample space. A

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Sexagesimal System / Degree Measure

The origin of the counting system is irreparable in nature and precedes the invention of writing. They were associated with the ancient Sumerians, whose language contained the only known system of sexagesimal counting. The Sumerians are also likely to be the inventors of the arithmetic system, originating from a counter system (also known as a

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Random Variable

Introduction When a statistical phenomenon or experiment is described in numerical terms, the result is a random variable. A random variable can be classified into discrete or continuous categories. Random variables are associated with probability distributions. These are the types of distributions representing all possible outcomes or values presented by a random variable from a

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Probability of an event

Probability is the study of how likely an event is to occur. There are several real-world circumstances in which we may be required to forecast the result of a certain occurrence. First, the outcome of an event might be known with certainty or unknown to us. When this is the case, we say that the

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Probability mass function

PMF is a subject that you will find both entertaining and informative as you learn more about it. It is a thought-provoking and practical concept. The Probability Mass Function is sometimes referred to as the Probability Function or the frequency function in other contexts. The probability distribution function (PMF) characterises the distribution of a discrete

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Probability Distribution of Random Variables

The probability distribution of a random variable describes how probabilities are spread over the random variable’s values. The probability distribution of a discrete random variable, x, is characterised by a probability mass function, represented as f(x). This function gives back the chance that each random variable value is true. Two conditions must be met in

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics

Mutually Exclusive and Independent Events

Independent, dependent, and mutually exclusive events all occur in Probability. It’s crucial to understand why these events differ from one another. Probability and Events In a Random Experiment, the probability is a measure of the possibility that an event will occur. Probability is expressed as a number between 0 and 1, with 0 denoting impossibility

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Class 12, Conditional probability, IIT JEE, Maths, Probability and Statistics