Random events: types and probability

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The event is called a fact or a phenomenon which has occurred or may occur in reality, in the real world.Events are regular and random.When natural event we can say exactly how and why they occurred, which was the cause and what are the implications, as well as with some alternate, ie,regularity, they will be repeated.Examples of regular events can serve as a physical or chemical experiments that under repeated gave the same result.

Random events - the phenomenon is more complex.They therefore called random, it is difficult to predict when, under what circumstances they occur and take place if at all.For example, two people live in the same city, in the same neighborhood, commute to and from work with one type of transport, and even about the same time.It is only natural that one day they will meet.Conversely, if people live far away from each other, between them there is practically no points of contact, to coincide very much chance that they once faced.The task is complicated, if one refers to the social lower classes of society, and the other is on the top rung of the social ladder.The probability of a random event, ie,their meeting, in this scenario is zero.

At the same time, when a lot of time to throw up a coin, the number of "tails" will be about the same with the number of "eagles".Investigation of possible repetition of the same phenomena involved in the theory of probability.

Random events - one of the main concepts, which operates the theory of probability.These are the events that may occur as a result of any experience or process thereof.

Probability divides events into three types:

  • certain events.They are sure to occur when producing the same experience, and the result can be predicted in advance.Similarly, we can say that if you leave wet clothes white in the cold, the moisture out of it vymerznet and whiten even purer material;
  • event impossible.It did not happen during this experiment, no matter how trying.For example, when connecting the hydrogen and oxygen atoms in the appropriate proportions will never apple juice, and water only;
  • random events - a pattern of symptoms is difficult to predict.

among random events too, can distinguish their groups and combinations.

Types of random events:

  • incompatible.These include those that can not occur in a test or experiment.For example, the coin toss may fall or only "eagle" or only the "tails", but the two sides - never.Or: a person can not at the same time to sleep and awake in nature does not occur at the same time, day and night;
  • events compatible.These include those which can occur simultaneously.For example, while in the summer the sun may shine and the rain dripping - it is called blind.Also, at the same time a person can read and eat, etc.The main thing that these events do not contradict each other;
  • so-called collectively exhaustive events.It includes such events, one of which is shown in the experiment.For example, a student competition.And then, the following scenarios: a student pass the competition, which will be noted in zachёtke;student failed the test, which is also pointed out in his book;student at the standings just come;
  • equally likely events - probability of accomplishment of events equal chance of accomplishment other events, etc.So the chances of increasing the number of "tails" are more chances of loss "eagles".

determined by random events and probability of loss on certain mathematical formulas.