Mutually Exclusive Venn Diagram Example

Let the events be defined as follows.

Mutually exclusive venn diagram example. For example the blood group of a person. Two mutually exclusive events two events are mutually exclusive if they cannot occur at the same time. Instead of and you will often see the symbol which is the intersection symbol used in venn diagrams. The events are mutually exclusive meaning that they cannot occur together and.

The condition for mutually exclusive events for being exhaustive is the outcome of an experiment must be one out of the sample space of mutually exclusive events for that particular experiment. For example the probability of event a in the figure below is the ratio of area a to the total area e. Can t happen at the same time. The best way to explain how the venn diagram works and what its formulas show is to give 2 or 3 circles venn diagram examples and problems with solutions.

In a venn diagram the sets do not overlap each other in the case of mutually exclusive events while if we talk about independent events the sets overlap. A the event that an even number is obtained. For the example under consideration. What are independent events.

This probability video tutorial provides a basic introduction into mutually exclusive events with the use of venn diagrams. Figure 2 gives an example of a venn diagram where two events a and b are identified. Two events are non mutually exclusive if they have one or more outcomes in common. Mutually exclusive and exhaustive events.

Problem solving using venn diagram is a widely used approach in many areas such as statistics data science business set theory math logic and etc. Venn diagram for a single event a. In the venn diagram above the probabilities of events a and b are represented by two intersecting sets i e they have some elements in common. Mutually exclusive events are represented mathematically as p a and b 0 while independent events are represented as p a and b p a p b.

The two events are such that e1 e2 φ the two sets e1 and e2 have no elements in common and their intersection is an empty set since they cannot occur at the same time. Hence a and b are mutually exclusive events as shown in the following venn diagram. Addition law of probabilities. In probability the set of outcomes of an experiment is called events.

Turning left and turning right are mutually exclusive you can t do both at the same time. In each venn diagram above the sample space of the experiment is represented. Let us learn here the complete definition of independent events along with its venn diagram examples and how it is different from mutually exclusive events.