definition

Parin Sir > definition
05
Jun
Examples

(1) In a throw of  a coin, find the probability of  getting a tail.

Soln. Here,   S   =   { H, T } ( i.e.  n  =  2 )  and   A   =   { H }  ( i.e.  m  =  1 ).

\ther... </p> <div class=

Share
Posted in: Examples,
Tags: fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial,
05
Jun
Introduction

☼ Probability    :   In a random experiment, let S be the sample space and E be the event. Then, E \subseteq S.  Then, we define  (if  m  =  n…

Share
Posted in: Probability,
Tags: base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, Probability, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths,
05
Jun
difference between mutually exclusive events and independent events

☼  Give the difference between mutually exclusive events and independent events.                                         

mutually exclusive even…

Share
Posted in: difference between mutually exclusive events and independent events,
Tags: example, online, definitions, math, between, tutorial, fundamental, and, mutually, educational, basic, Parin, exclusive, maths, base, sir, events, mathematics, sum, bhai, independent, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, Examples, sutr, class, theorems, SUMS, Difference, education, definition,
05
Jun
Event

☼ Event     :     The result  of  an  experiment  are  known as events:

e.g. (i) If a coin is tossed head ( H ) and tail ( T ) are two different events.

(ii) 1, 2, 3, 4, 5, 6 are different even…

Share
Posted in: Event,
Tags: Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, Event, online, definitions, example, tutorial, fundamental, math, educational, basic,
05
Jun
Sample  Space

☼ Sample  Space     :     A set representing all possible outcomes of a random experiment is called a sample space and it is denoted by  S  or  U.

Each outcome is called a sample point. The number of sample points…

Share
Posted in: Sample  Space,
Tags: Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, Sample, online, definitions, example, Space, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla,
05
Jun
Unbiased Experiment

☼ Unbiased Experiment   :    If  each outcome of  the experiment is equally likely to occur,  then the experiment is known as an unbiased experiment.

 e.g. When we throw a coin, …

Share
Posted in: Unbiased Experiment,
Tags: class, theorems, Examples, Experiment, education, definition, SUMS, online, definitions, example, Unbiased, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr,
05
Jun
Random  Experimen

☼ Random  Experiment  ( or trial )   :    An experiment which can result in anyone of the several possible outcomes is called a random experiment or a trial.

e.g. (i) Tossing of a coin is a rando…

Share
Posted in: Probability,
Tags: mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, or, education, definition, SUMS, online, definitions, example, Probability, tutorial, fundamental, math, Random, educational, basic, Parin, Experiment, maths, base, sir, trial,
05
Jun
Examples(2)

(4) In how many ways 7 persons stand in a row, if  three particular persons do not stand together  ?

Soln. 7 persons can stand in a row in 7 !  =  5040   ways                            –––––––––  ( 1 )

Three particular person …

Share
Posted in: Examples(2),
Tags: ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai,
05
Jun
Examples

(1) Evaluate  : \frac{20!}{17!}

Soln. We have,  \frac{20!}{17!... </p> <div class=

Share
Posted in: Examples,
Tags: concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta,
05
Jun
Combination

☼ COMBINATION  :   When  we have to choose a certain number of  objects from a given set of  objects in such a way that the order of  selection is not important, the selection is known as a combination. Consider the following example…

Share
Posted in: Combination,
Tags: theorem, sutr, class, theorems, Examples, Combination, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes,