Probability Distribution | Definition, Types, Formula, Examples | Class 12 Math Notes Study Material Download Free PDF

In Statistics, the probability distribution gives the possibility of each outcome of a random experiment or event. It provides the ...
Read moreBayes Theorem | Definition, Proof, Formula, Derivation & Solved Examples | Class 12 Math Notes Study Material Download Free PDF

Bayes’ theorem describes the probability of occurrence of an event related to any condition. It is also considered for the ...
Read moreIndependent & Mutually Exclusive Events in Probability-Definition, Venn Diagram & Solved Examples | Class 12 Math Notes Study Material Download Free PDF

Independent events are those events whose occurrence is not dependent on any other event. For example, if we flip a ...
Read moreMultiplication Rule of Probability | Proof & Solved Examples | Class 12 Math Notes Study Material Download Free PDF

The multiplication rule of probability explains the condition between two events. For two events A and B associated with a ...
Read moreConditional Probability, Solved Examples | Class 12 Math Notes Study Material Download Free PDF

Imagine a student who takes leave from school twice a week excluding Sunday. If it is known that he will ...
Read moreProbability-Definition, Formula, Types, Problems & Solutions | Class 12 Math Notes Study Material Download Free PDF

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is ...
Read moreShortest Distance Between Two Lines in 3D Space, Solved Examples | Class 12 Math Notes Study Material Download Free PDF

The shortest distance between two lines in three-dimensional space is the length of the perpendicular segment drawn from a point ...
Read moreAngles Between two Lines in 3D Space: Solved Examples | Class 12 Math Notes Study Material Download Free PDF

A line in mathematics and geometry is a fundamental concept representing a straight, one-dimensional figure that extends infinitely in both ...
Read moreEquation of Line in Three Dimensions | Cartesian & vector Equation | Class 12 Math Notes Study Material Download Free PDF

Equation of a line is defined as y= mx+c, where c is the y-intercept and m is the slope. Vectors ...
Read moreDirection Cosines & Direction Ratios – Definitions & Examples | Class 12 Math Notes Study Material Download Free PDF

Direction Cosines When a directed line OP passing through the origin makes \(\begin{array}{l}\alpha \end{array} \) , \(\begin{array}{l}\beta\end{array} \) and \(\begin{array}{l} ...
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