Key Notes for Bihar Board Students for Class 10. Important topics of all subjects are given below. These notes will provide you overview of the chapter and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the book. Bihar Board Class Notes Revision Notes for Class […]

## CBSE Class 11 Biology Notes

Class 11 Biology Notes Key Notes for Biology Subject for Class 11 Students are given here. Important topics of 11th biology are covered. These notes will provide you overview of all the chapters and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the biology book. Living […]

## CBSE Class 12 Biology Notes

CBSE Class 12 Biology Notes Key Notes for Biology Subject for Class 12 Students are given here. Important topics of 12th biology are covered. These notes will provide you overview of all the chapters and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the biology […]

## Class 12 Economics Notes

Class 12 Economics Notes Key Notes for Economics Subject for Class 12 Students are given here. Important topics of 12th Economics are covered. Economics is divided into two parts i.e. Part A – Microeconomics and Part B – Macroeconomics. These notes will provide you overview of all the chapters and important points to remember. These are very useful summary notes […]

## Class 12 Business Studies Notes

Key Notes for Business Studies Subject for Class 12 Students are given here. Important topics of 12th Business Studies are covered. These notes will provide you overview of all the chapters and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the Business Studies book. Class […]

## Class 11 Business Studies Notes

Class 11 Business Studies Notes Key Notes for Business Studies Subject for Class 11 Students are given here. Important topics of 11th Business Studies are covered. These notes will provide you overview of all the chapters and important points to remember. These are very useful summary notes with neatly explained examples for best revision of […]

## CBSE Class 12 Maths Notes: Functions – Onto and Into Function Types

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## Class 12 Maths Notes: Probability – Mutual and Pairwise Independence

Mutual Independence and Pairwise Independence: Three events A, B, C are said to be mutually independent if, P(A∩B) = P(A)×P(B), P(A ∩ C) = P(A)×P(C), P(B ∩ C) = P(B)×P(C) and P(A∩B∩C) = P(A)×P(B)×P(C) These events would be said to be pairwise independent if, P(A∩B) = P(A)×P(B), P(B∩C) = P(B)×P(C) and P(A∩C) = P(A)×P(C). Thus […]

## Class 12 Maths Notes: Determinants – Some More Examples on Determinants

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## Class 12 Maths Notes: Probability – Independent Events

Remarks: If P(A) = 0 => for event ‘B’, 0 ≤ P(A∩B) ≤ P(A). => P(A∩B) = 0, thus P(A∩B) = P(A)×P(B) = 0. Hence an impossible event would be independent of any other event. Distinction between independent and mutually exclusive events must be carefully made.Independenceis a property of probability whereas the mutual exclusion is […]

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