Probability is the determination of the possibility of an event to occur. An event is said to be a set of results of an experiment. Probability basically deals with the study of these different events in combination with each other. Now how the events function with respect to each other, determines the rules to study probability. These events can be divided into two important categories:
- Dependent events.
- Independent events.
Having a strong idea of independent events is very crucial to proceed with further details on probability.
Basic concepts of independent events
An independent event is a case where two events are independent of each other such that the probability of one event to occur does not have any effect on the probability of occurrence of the other event. A sound knowledge of independent events help homework on many topics, mostly mathematics. We can consider an example, like rolling a standard six-sided die and drawing the 2 of spades from a pack of cards. Here these events have no impact on the probability of occurrence of one another.
To explain this concept further here is the formula for calculating the probability of two given independent events:
P (A and B) = P (A) * P (B)
- P (A and B): This is the probability of occurrence of both A and B. This is also called compound event.
- P (A): Probability of occurrence of A.
- P (B): Probability of occurrence of B.
Now, if A and B are two independent events then the above equation holds true. The probabilities of the events don’t alter when it is found that one of them has already occurred since they are independent of each other’s probability of occurrence. This particular process can be used for multiple independent events too.
Application of independent events
A student pursuing a degree in a college or even in high school with statistics as a subject will find the maximum application of independent events in the course of study. In order to solve problems, one must have a clear concept of it. Once in grasp, independent events help homework and assignments on statistics can be of great assistance.
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