Difference Between Mutually Exclusive and Independent Events

It is important to know the difference between Mutually exclusive and independent events. As these are mathematical terms used to describe different events occuring in Probability. Understanding the definitions of Mutually exclusive and independent events can help one in identifying the differences between the two. A mutually exclusive event can simply be defined as a situation when two events cannot occur at the same time. This is termed as being mutually exclusive. There are quite a few different events that occur in Probability such as Simple, Compound, Independent, Dependent and Mutually Exclusive. It is important to know what causes these events to be different from one another.

Difference between Mutually exclusive and Independent events

An independent event is termed as an event that occurs without being affected by other events. This is termed as an independent event. The happening of one event has nothing to do with the happening of another and there is no cause-effect between the two. Suppose an event does not take place that does not stop other events from happening. The types of events in Probability will give you an overview of the different types of events that occur.

Difference between Mutually exclusive and independent events

Mutually exclusive events

Independent events

When the occurrence is not simultaneous for two events then they are termed as Mutually exclusive events.

When the occurence of one event does not control the occurrence of another event then it is termed as an independent event.

The non occurrence of an event will result in the occurrence of an event.

There is no influence of an occurrence with another and they are independent of each other.

The mathematical formula for mutually exclusive events can be represented as P(A and B) = 0

The mathematical formula for independent events can be represented as P(A and B) = P(A) P(B)

The sets do not overlap in the case of mutually exclusive events.

The sets do overlap in the case of independent events.

Thus, these are the major differences between Mutually exclusive and independent events. To know more about math related topics, subscribe to the BYJU’s app today! You may also want to check out our related articles for further reading:

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Practise This Question

The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.