Which of the following possibilities are empirical? Mathematics seeks to find solutions to all the problems that you may encounter in your daily life, and perhaps the science of probability is one of the tools that mathematics uses in finding these solutions, so we will discuss in the coming lines the concept of probability, its types and basic concepts.

## Which of the following possibilities are empirical?

Which of the following possibilities are empirical? The correct answer is the probability of trying to throw three coins fifty times, we got three possibilities in 6 of them, so h (the appearance of three slogans) = 6/50 = 3/25.

## The concept of possibilities

It is one of the branches of mathematics that deals with the analysis of random experiments, the inevitable results of which are not known before they occur, but their probabilistic results can be predicted, and the experiment that can be repeated practically or hypothetically is one of the most important elements of the study of probability, and an example of a probabilistic experiment is the experiment of throwing a piece cash that results in either a picture or a writing.

## Basic concepts in probability

Among the most important of these concepts are:

• Experience: Get a possible result from a set of outcomes, rolling a dice once.
• sample space: Which are all possible possibilities, the sample space in the experiment of rolling the dice once is {1, 2,3,4,5,6}
• ato happen: It is the occurrence of a specific result from the sample space set, such as obtaining a prime number when the dice is rolled once {2, 3, 5}.

See also: In a bag there are 10 red balls, 8 blue balls and 4 white balls

## types of possibilities

There are three types of possibilities:

• theoretical probability: It is a probability that depends on logic in estimating its occurrence, for example: the theoretical probability of getting an even number when the dice is rolled once is 0.5.
• Experimental probability: It is a probability that depends on the experiment in its estimation, and is calculated by dividing the number of times its occurrence by the number of times the experiment is repeated.
• The obvious possibility: It relies in its estimation on a set of axioms developed by the scientist Kolmogorov.