JEE Exam » JEE Study Material » Mathematics » Applications of Probability

# Applications of Probability

Probability is a term that refers to the likelihood that a particular event will take place.

When one tosses a coin, one can easily anticipate the result, which will either be heads or tails depending on how it lands. But what happens if you flip the coin twice in quick succession? The outcome could be either a head or a tail, or a combination of the two. In the latter scenario, it is impossible to obtain the correct answer; therefore, only one can make a prediction regarding the possibility of a result. The term “probability” refers to this kind of forecast. Probability is an important concept that can be applied to many different areas of day-to-day life, including forecasting the weather, analysing blood samples, determining the gender of an unborn child, diagnosing congenital conditions, performing statics, and many more. Probability will be covered in great depth throughout the course of this discussion.

## Probability

Probability is a term that refers to the likelihood that a particular event will take place.

## Applications of statistical probability

The following are some examples of situations in which probability can be used to make predictions:

•The act of tossing a coin

•picking a card at random from the stack

•Rolling a dice or dice

•I’m reaching into a bag of red candies and pulling out a green candy

•The odds of winning a lottery are one in millions of millions

## The mathematical concept of probability

Al-Khalil was a mathematician who lived in the middle east. He was responsible for writing the Book of Cryptographic Messages, which demonstrates the first use of permutation and combination to list all of the Arabic words with or without vowels. This was the beginning of probability and statistics as we know them today.

Probability is a subfield of mathematics that deals with providing a numerical illustration of how likely it is that something will occur. Any event’s probability can be expressed as a number between 0 and 1, where 0 indicates that the event will never take place and 1 indicates that it will without a doubt take place.

The field of probability theory has many applications, including but not limited to the fields of statistics, economics, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophical analysis.

## Examples of probability taken from real life

### 1) Weather planning

The term “probability forecast” refers to an evaluation of how likely an event is to occur expressed as a percentage. This evaluation is used in weather planning to record the risks associated with the weather. When trying to predict changes in the weather, meteorologists from all over the world use a variety of instruments and tools. They compile the database of weather forecasts from all over the world in order to make predictions about the changes in temperature and the likely weather conditions that will prevail during a given hour, day, week, and month.

Example

If there is a forty percent chance that it will rain, then the weather has been such that it has rained on forty of the hundred days that have passed.

### 2)Strategies in Sports

In the world of sports, evaluations are performed with the aid of probability in order to gain an understanding of the qualities that distinguish one team or player from another. The analysts make their predictions about the outcomes of the team’s performance and the members’ participation in the sport using probability and odds.

Probability is a tool that coaches use to determine which aspects of their team are strong enough to win and which aspects of their game need the most improvement in order to achieve victory. Trainers will even use probability to determine the capability of a specific player on their team, as well as when and against whom they will allow that player to compete.

Example

Before deciding where a player will bat or bowl in the lineup, a coach in cricket will assess that player’s overall performance in previous matches by calculating his batting and bowling averages.

### 3) Insurance

The theory of probability, also known as theoretical probability, is utilised by insurance companies when formulating insurance policies and determining premium costs. The statistical method known as the theory of probability is employed by statisticians to make forecasts regarding the possibilities of future events.

Example

It is highly likely that the cost of providing health insurance to an alcoholic will be greater than the cost of providing insurance to a healthy individual. An analysis of statistics reveals that an alcoholic who consumes alcohol on a regular basis faces significant health risks; consequently, insuring such a person poses a significant financial risk due to the increased likelihood that they will suffer from a serious illness and, as a result, submit a claim for reimbursement of their premium payments.

### 4)In games

Probability is used in a variety of games, including blackjack, poker, gambling, as well as all sports, board games, and video games, to determine how likely a team or individual is to win.

### Conclusion

Probability is a term that refers to the likelihood that a particular event will take place.Al-Khalil was a mathematician who lived in the middle east. He was responsible for writing the Book of Cryptographic Messages, which demonstrates the first use of permutation and combination to list all of the Arabic words with or without vowels. This was the beginning of probability and statistics as we know them today.Probability is a subfield of mathematics that deals with providing a numerical illustration of how likely it is that something will occur.The concept of probability is extremely useful in many aspects of day-to-day life. in the determination of blood groups, the weather forecast, sports and gaming strategies, the purchase or sale of insurance, online shopping, and online games; in the analysis of political strategy; and in the play of online games.

Get answers to the most common queries related to the JEE Examination Preparation.

## What exactly does it mean to say that something is probable?

Ans. In mathematics, probability can be defined as the number of different outcomes that are conceivable for an even...Read full

## How do you do the calculations for probability?

Ans. Probability can be expressed as the ratio of the number of positive outcomes to the total number of outcomes th...Read full

## In what aspects of life do we make use of probability?

Ans. Predictions of the weather The formula for determin...Read full

## What are the three different kinds of probabilities?

Ans. Probability, based on theory Experimental probabili...Read full

## Can you run through the five rules of probability for me?

Ans. Rule 1: For any event, the probability of all possible outcomes is either 0 or 1, where 0 denotes an occurrence...Read full