Depending upon the correct proof of the Bayes theorem is very much important because it is the best possible way of describing the probability of the occurrence of any kind of event related to any kind of condition. It is also known as the concept of conditional probability. Bayes theorem is also known as the formula for the probability of causes and whenever the individuals are interested to calculate the probability of taking a blue ball from the second bag out of three different bags of balls where every bag will be containing balls of a different colour, for example, red, blue and black then in this particular case the probability of occurrence of the event will be known as depending upon different kinds of conditions and in short, it will be known as conditional probability. So, in this particular area people always need to depend upon the concept of the Bayes theorem in the whole process so that people can reach out the answers very easily and accurately in the whole process.

## The formula for this particular theorem has been explained as:

The probability of A/B is equal to the probability of B/A into the probability of A upon the probability of B

It is also very much important for the people to be clear about different kinds of statements and questions associated with the whole process so that they can practice the things very efficiently and there is no problem at any point in time.

Following are some of the basic terminologies which the people need to use in the world of Bayes theorem so that everything can be perfectly applied in the whole process:

- Hypotheses: All the events such as E1, E2, E3 and so on will be known as hypothesis
- Priori probability: This will be the probability and will be known as the probability of EI of the hypothesis EI
- Posteriori Probability: This will be known as the probability of the causes as well as Bayes theorem and this particular formula is very much important to be learnt by the kids which will be the probability of EI/A

Hence, it is very much important for people to be clear about the implementation of this particular formula as well so that there is no issue at any point in time and people can deal with things very easily and professionally. It is also vital for the kids to be clear about the derivation of the Bayes theory because it will be derived from the events and random variables being separately used for the definition of the conditional probability and density in the whole process of dealing with such things. It is also very much important for the kids to be clear about the applications of this particular problem because this is the best possible approach of dealing with the statistical interference in the whole process very easily and effectively.

The inference associated with this particular theorem can be perfectly found in the application of different kinds of activities like medicine, philosophy, science, engineering, law, sports and several other options. This particular theorem can be perfectly used in terms of defining the accuracy of a medical test which will be resulted by considering how likely are particular a person is to have a particular disease and how to test out the overall accuracy in the whole process. The Bayes theorem will be based upon consolidating the prior probability distributions to generate the later ones very easily and in this particular system, people need to be clear about the basic events to be used in the whole process so that accuracy can be ensured at every step. Hence, whenever people are interested to have a good command over the concept of probability then depending upon platforms like Cuemath is a very good idea because experts over here will help in teaching the kids with right kind of things very easily.