•  
agra,ahmedabad,ajmer,akola,aligarh,ambala,amravati,amritsar,aurangabad,ayodhya,bangalore,bareilly,bathinda,bhagalpur,bhilai,bhiwani,bhopal,bhubaneswar,bikaner,bilaspur,bokaro,chandigarh,chennai,coimbatore,cuttack,dehradun,delhi ncr,dhanbad,dibrugarh,durgapur,faridabad,ferozpur,gandhinagar,gaya,ghaziabad,goa,gorakhpur,greater noida,gurugram,guwahati,gwalior,haldwani,haridwar,hisar,hyderabad,indore,jabalpur,jaipur,jalandhar,jammu,jamshedpur,jhansi,jodhpur,jorhat,kaithal,kanpur,karimnagar,karnal,kashipur,khammam,kharagpur,kochi,kolhapur,kolkata,kota,kottayam,kozhikode,kurnool,kurukshetra,latur,lucknow,ludhiana,madurai,mangaluru,mathura,meerut,moradabad,mumbai,muzaffarpur,mysore,nagpur,nanded,narnaul,nashik,nellore,noida,palwal,panchkula,panipat,pathankot,patiala,patna,prayagraj,puducherry,pune,raipur,rajahmundry,ranchi,rewa,rewari,rohtak,rudrapur,saharanpur,salem,secunderabad,silchar,siliguri,sirsa,solapur,sri-ganganagar,srinagar,surat,thrissur,tinsukia,tiruchirapalli,tirupati,trivandrum,udaipur,udhampur,ujjain,vadodara,vapi,varanasi,vellore,vijayawada,visakhapatnam,warangal,yamuna-nagar
Chance and Probability- maths

Chance and Probability - Maths

Let's say you're going to a cricket match. Both competing teams have an equal probability of winning when the contest begins. As the game progresses, it becomes obvious which team will emerge victoriously. How do those who invest in the stock market make their decisions on which stocks to buy? They take a chance depending on several things. People who purchase railway waiting tickets in the hopes of a confirmation take a chance or risk.

Chance and Probability of Events

In real life, we are frequently faced with circumstances in which we must take a chance or risk. The probability of a specific event occurring can be easily anticipated based on particular circumstances. In simple terms, the probability is the study of the likelihood of a specific event occurring.

Assume you and your buddies are playing a board game. Can you anticipate the outcome of a die roll or acquire the precise number of your choice? No, that's not going to work. This type of experiment is known as a random experiment, and the results are 1, 2, 3, 4, 5, and 6. As a result, random experiments are defined as studies with no predetermined outcome. The result of such tests is unpredictable, and the result achieved after a random experiment is known as the experiment's outcome. An experiment's result, or a set of results, constitutes an event. If each experiment's result has an equal chance of occurring, then all of the results are equally likely. As in the case of rolling a die, the chances of getting a number between 1 and 6 are equal.

Basics of Statistics

The measure of central tendency and the measure of dispersion are fundamental statistics concepts. The mean, median, and mode are the central trends, whereas variance and standard deviation are the dispersions.

The average of the observations is called the mean. When observations are sorted in order, the median is the value in the middle. In data collection, the model identifies the most common observations.

The term "variation" refers to the dispersion of the data collected. The standard deviation is a measure of how far the data deviates from the mean. The variance is equal to the square of the standard deviation.

Mathematical Statistics

Mathematical statistics is the application of mathematics to statistics, which was originally envisioned as a state science – the gathering and analysis of data about a country's economy, military, population, and so on.

Mathematical analysis, linear algebra, stochastic analysis, differential equation, and measure-theoretic probability theory are some of the mathematical approaches utilized in various analytics.

Frequently Asked Questions

What is statistics, exactly?
The branch of statistics that studies the gathering, analysis, interpretation, organization and presentation of data is known as statistics. Statistics is defined mathematically as a collection of equations that are used to analyze data.

What role does statistics play in mathematics?
Statistics is a branch of applied mathematics that applies probability theory to sample data to generalize it. It aids in determining the chance that data generalizations are correct. Statistical inference is the term for this.

What are the benefits of statistics?
Statistics teaches us how to use a small sample to generate accurate predictions about a larger population. The use of tables, diagrams, and graphs plays an important role in presenting the data that was used to make these decisions.

What role does statistics play in everyday life?
Statistics urges you to use acceptable methods to gather data, conduct appropriate tests, and effectively present the results. Measurement is a crucial step in the process of making scientific disclosures, making informed decisions, and making predictions.

Aakashians JEE Topper

Aakashians NEET UG 2023 Champions Again

Historic Results 2023 Aakashians Qualified +1 Lakh

JEE Advanced 2023

JEE Advanced 2023 Stats

JEE Advanced 2022 Topper

NEET Related Links

NEET Exam 2024

NEET 2024 Exam Dates

NEET 2024 Exam pattern

NEET 2024 Syllabus

NEET 2024 Eligibility Criteria

NEET 2024 Application

NEET UG Counselling

NEET FAQ

NEET UG Result

NEET 2024 Cut Off

Neet 2023 Toppers List Names & Rank

Neet Result 2023 Toppers list rank cut off

Neet Answer key Live Download PDF

Neet 2023 State Toppers List

JEE MAIN Related Links

JEE Main 2024

JEE Main Rank Predictor 2024

JEE Main College Predictor 2024

JEE Main 2024 Exam Dates

JEE Main 2024 Exam pattern

JEE Main 2024 Application

JEE Main 2024 Eligibility Criteria

JEE Main 2024 Syllabus

JEE Main 2024 Physics Syllabus

JEE Main 2024 Maths Syllabus

JEE Main 2024 Chemistry Syllabus

JEE Main 2024 Admit Card

JEE Main 2024 Counselling

JEE Main marks vs rank vs percentile

JEE Advanced Result 2023 live topper list

JEE Exam Preparation - How to calculate your rank jee

JEE Maths Syllabus - Important topics and weightage

JEE Advanced Related Links

JEE Advanced 2024 Exam Dates

JEE Advanced 2024 Application

JEE Advanced 2024 Eligibility Criteria

JEE Advanced 2024 Syllabus

JEE Advanced 2024 Maths Syllabus

JEE Advanced 2024 Physics Syllabus

JEE Advanced 2024 Chemistry Syllabus

JEE Advanced Exam Result

JEE Advanced Exam Dates

JEE Advanced Registration Dates

CUET Related Links

CUET 2024 Eligibility Criteria

CUET 2024 Admit Card

CUET 2024 Exam Pattern

CUET 2024 FAQs

CUET 2024 Counselling

CUET 2024 Syllabus

CUET 2024 Result

CUET 2024 Answer Key

CUET 2024 Preparation

CUET CUTOFF

CUET 2024 Application Form

Talk to our expert
Resend OTP Timer =
By submitting up, I agree to receive all the Whatsapp communication on my registered number and Aakash terms and conditions and privacy policy