In mathematics, probability can be considered as a branch of mathematics. The concept of probability deals with the calculation of the likelihood occurrence of any given event. The term probability describes their value in the range between 0 and 1. In the concept of probability the value one refers to the certainty of the occurrence of any particular event. In the same aspect the value zero refers to the impossibility of occurrence of any event. The basic behind using the concept of probability in mathematics is that when the lots of situations happens and we are not able to predict the outcome of the particular event then the concept of probability is used in this case to analyze the different possibilities and how likely each of them is. (know more about cbse board papers, here)
There are various concepts are defined that helps in understanding the probability more clearly. Form that concepts conditional probability is one of them. In the probability theory, the conditional probability is a concept which defines the conditional relationship between two occurring events. It means to say that the conditional probability of ‘X’ given ‘Y’ is the probability of X if Y is known to occur. In the mathematical notation we can represent the conditional probability as P (X / Y). It means to say that the conditional probability of occurrence an event Y is only when the occurrences of the event ‘X’ is already done. In probability theory the definition of conditional probability can be represented by using formula for conditional probability:
P (X / Y) = P (X and Y) / P (Y),
In the above definition of probability we need to remember one thing that the value of the P (Y) must be greater than zero. In most of the cases the P (X / Y) can be visualized as probability of event ‘X’ when the sample space of the event ‘Y’ is restricted. In the next session we will discuss about Permutations and combinations.
There are various concepts are defined that helps in understanding the probability more clearly. Form that concepts conditional probability is one of them. In the probability theory, the conditional probability is a concept which defines the conditional relationship between two occurring events. It means to say that the conditional probability of ‘X’ given ‘Y’ is the probability of X if Y is known to occur. In the mathematical notation we can represent the conditional probability as P (X / Y). It means to say that the conditional probability of occurrence an event Y is only when the occurrences of the event ‘X’ is already done. In probability theory the definition of conditional probability can be represented by using formula for conditional probability:
P (X / Y) = P (X and Y) / P (Y),
In the above definition of probability we need to remember one thing that the value of the P (Y) must be greater than zero. In most of the cases the P (X / Y) can be visualized as probability of event ‘X’ when the sample space of the event ‘Y’ is restricted. In the next session we will discuss about Permutations and combinations.
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