This document discusses probability and chance. It defines probability as a measure from 0 to 1 of how likely an event is to occur, with 0 being impossible and 1 being certain. Chance is expressed as a percentage to indicate likelihood. Examples are given of using probability to predict weather or outcomes of rolling dice. The history of probability is outlined as emerging from games of chance. Modern uses include traffic control and genetics. Some occurrences can be predicted through science, while others like coin tosses remain unpredictable. Formulae are provided for calculating probabilities from sample data. The document concludes with applications in risk assessment and markets.
History behind the
development of the concept
In 1654, a gambler Chevalier De Metre approached the well known Mathematician Blaise Pascal for certain dice problem. Pascal became interested in these problems and discussed it further with Pierre de Fermat. Both of them solved these problems independently. Since then this concept gained limelight.
Basic Things About The Concept
Probability is used to quantify an attitude of mind towards some uncertain proposition.
The higher the probability of an event, the more certain we are that the event will occur.
Basic probability Concepts and its application By Khubaib Razakhubiab raza
introduction of probability probability defination and its properties after that difference between probability and permutation in the last Discuss about imporatnace of Probabilty in Computer Science
History behind the
development of the concept
In 1654, a gambler Chevalier De Metre approached the well known Mathematician Blaise Pascal for certain dice problem. Pascal became interested in these problems and discussed it further with Pierre de Fermat. Both of them solved these problems independently. Since then this concept gained limelight.
Basic Things About The Concept
Probability is used to quantify an attitude of mind towards some uncertain proposition.
The higher the probability of an event, the more certain we are that the event will occur.
Basic probability Concepts and its application By Khubaib Razakhubiab raza
introduction of probability probability defination and its properties after that difference between probability and permutation in the last Discuss about imporatnace of Probabilty in Computer Science
Probability implies 'likelihood' or 'chance'. When an event is certain to happen then the probability of occurrence of that event is 1 and when it is certain that the event cannot happen then the probability of that event is 0.
A distribution where only two outcomes are possible, such as success or failure, gain or loss, win or lose and where the probability of success and failure is the same for all the trials is called a Binomial Distribution.
Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur.[note 1][1][2] The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ('heads' and 'tails') are both equally probable; the probability of 'heads' equals the probability of 'tails'; and since no other outcomes are possible, the probability of either 'heads' or 'tails' is 1/2 (which could also be written as 0.5 or 50%).
These concepts have been given an axiomatic mathematical formalization in probability theory, which is used widely in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
#TheProbabilityLifeSaver...
I am planning a picnic today, but the morning is cloudy. Oh no! 50% of all rainy days start off cloudy!
What is the probability/chance of rain during the day?
Shall I go for Picnic or not!
Also, I am too much crazy for fruit salad. "My fruit salad is a combination of apples, grapes and bananas" I don't care what order the fruits are in, they could also be "bananas, grapes and apples" or "grapes, apples and bananas", it’s the same fruit salad. #Combination
We daily use probability concepts in our routine life. But we can’t think it is Statistics. just think little bit about statistics if we apply each & every statistical concepts in everyday life then what will happen...
#ApnaSapnaMoneyMoney #BreadButterHoney or Something more than this
#CuriosityRight
In this PPT you will see Probability & its importance
#RealLifeApplications Concept of events.
#Probability Rules #Events
#Conditional Probability
#Bayes’ Theorem
#Permutation and Combination
#HowToCalculateProbability #DecisionMaking #PictorialView
#MakeFunWithProbExamples #Statistics #YogitaKolekar
3. What Is Probability? Probability is a measure of how likely it is for an event to happen. We name a probability with a number from 0 to 1. If an event is certain to happen, then the probability of the event is 1. If an event is certain not to happen, then the probability of the event is 0. We can even express probability in percentage.
4. Chance Chance is how likely it is that something will happen. To state a chance, we use a percent. Certain not to happen ---------------------------0% Equally likely to happen or not to happen ----- 50 % Certain to happen ----------------------------------- 100%
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6. Donald is rolling a number cube labeled 1 to 6. Which of the following is LEAST LIKELY? an even number an odd number a number greater than 5
7. The History of Probability Probability originated from the study of games of chance. Tossing a dice or spinning a roulette wheel are examples of deliberate randomization that are similar to random sampling. Games of chance were not studied by mathematicians until the sixteenth and seventeenth centuries. Probability theory as a branch of mathematics arose in the seventeenth century when French gamblers asked Blaise Pascal and Pierre de Fermat (both well known pioneers in mathematics) for help in their gambling. In the eighteenth and nineteenth centuries, careful measurements in astronomy and surveying led to further advances in probability.
8. Modern Use Of Probability In the twentieth century probability is used to control the flow of traffic through a highway system, a telephone interchange, or a computer processor; find the genetic makeup of individuals or populations; figure out the energy states of subatomic particles; Estimate the spread of rumors; and predict the rate of return in risky investments.
9. Predictable and Unpredictable Occurrence Predictable Occurrences:The time an object takes to hit the ground from a certain height can easily be predicted using simple physics. The position of asteroids in three years from now can also be predicted using advanced technology.Unpredictable Occurrences:Not everything in life, however, can be predicted using science and technology. For example, a toss of a coin may result in either a head or a tail. Also, the sex of a new-born baby may turn out to be male or female. In these cases, the individual outcomes are uncertain. With experience and enough repetition, however, a regular pattern of outcomes can be seen (by which certain predictions can be made).
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11. To know the opinion of students for the subject maths, a survey of 200 students was conducted :- Find the probability for both the opinions : Ans. Total no. of observations = 200 P(Likeness of the students) = No. of students who like Total no. of students = 135 200 = 0.675 P(Dislikeness of the students) = 65 200 = 0.325
12. Random Phenomenon An event or phenomenon is called random if individual outcomes are uncertain but there is, however, a regular distribution of relative frequencies in a large number of repetitions. For example, after tossing a coin a significant number of times, it can be seen that about half the time, the coin lands on the head side and about half the time it lands on the tail side. Note of interest: At around 1900, an English statistician named Karl Pearson literally tossed a coin 24,000 times resulting in 12,012 heads thus having a relative frequency of 0.5005 (His results were only 12 tosses off from being perfect!).
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17. ‘Mathematics the base of everything !!!’ Made by:- Shivansh Jagga SimarKohli Arpit Dash