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I'll take a look at the title.
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(1) There is only a limited number of possible basic events in the trial;
2) Each basic event in the trial is equally likely.
There are a large number of probabilistic models with the above two characteristics, and this probabilistic model is called classical probabilistic model, referred to as classical generalization, also called isoprobable generalization.
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Classical generalizations (also known as equiprobable generalizations) refer to probabilistic models in which the probability of each event occurring is equal in a limited sample space. For example, a fair coin is tossed with a 50% probability of heads and tails.
In classical generalizations, all possible outcomes must not overlap with each other and be equally probable, and each event can be calculated by the number of underlying events they contain. Therefore, we can calculate the probability by counting the method.
For example, if two dice are rolled, what is the probability that the sum of points will be 5? Since each dice has a number of points from 1 to 6, the sample space is made up of many possible sums of 36 base events. Since the probability of each underlying event occurring is equal, we can calculate the probability by counting the number of all underlying events that contain 5, i.e., 4, because (1,4)(2,3)(3,2) and (4,1).
Classical introductory formulas are suitable for simple experiments or games, such as tossing a coin or dice, drawing a card from a bridge deck, etc. However, it does not apply to complex situations, such as the probability of a winner in a racing race, as the probability of victory is usually different for each participant and can be affected by many other factors.
Therefore, when faced with more complex events, we need to use more complex probabilistic models, such as conditional probability, Bayesian theory, discrete random variables, continuous random variables, and so on.
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Classical generalizations, also known as traditional probability, were defined by the French mathematician Laplace. If a randomized trial contains a finite number of unit events, and each unit of event has an equal probability of occurring, then the randomized trial is called the Laplace test, and the probability model under this condition is called the classical generalization.
Under this model, all possible outcomes of a random experiment are limited, and the probability of each basic outcome occurring is the same. Classical generalizations are the most intuitive and simple models in probability theory, and many of the rules of probability are first derived from this model.
Examples of classical generalizations:
Toss a coin with a uniform texture and a well-shaped shape, and the probability of both heads and tails is the same, both are 1 2. The coin is uniform in texture and has a standardized shape, neither side has more chances of appearing than the other, and the probability of both heads and tails appearing is the same. This is called the symmetry of classical generalizations, and it is often used in sports competitions to determine who kicks off and who chooses the venue.
In order to explain this phenomenon, in history, many masters have verified this problem, and it can be seen that with the increasing number of times, the frequency of heads is getting closer and closer to 50%, and we also have reason to believe that as the number of times continues to increase, the frequency of heads and tails will be fixed at 1 2, that is, the probability of heads and tails is 1 2.
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The classical generalization is one of the most intuitive and simple probabilistic models to explain. At this point, all possible outcomes of a randomized trial are limited, and the probability of each basic outcome occurring is the same. For example, rolling the dice once, or sampling inspection of products with the same shape of a limited part can be classified as this model.
Words are broken down.
Classical Interpretation Ancient Codes and Regulations Rather than attaching to the classics, it is better to abide by the rules and regulations of the Emperor Xiaoming to punish him, which is not classical.;; Book of the Later Han Dynasty; The Legend of Yang Xiong" Ancient Zhaozao Dynasty Classics Sentimental Ancient Allusions He wrote poems to use the classical Ancient things that have been handed down in ancient times and are considered authentic or exemplary Guessing dust things Transcending the fashion of the times, its superiority Explanation of the type Molds used for casting utensils: sand molds.
Molding sand (the material from which sand molds are made). Style: Type.
New. Model. Face.
Blood type. Radical : Earth.
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