Mutually Exclusive Events Venn Diagram

The relative frequency definition of probability addition law.

Mutually exclusive events venn diagram. Before progressing on to mutually exclusive outcomes students review venn diagrams using the starter question below. The following venn diagram represents mutually exclusive disjoint sets. Turning left and turning right are mutually exclusive you can t do both at the same time. The intersection of two complementary sets is the null set and the union is the universal set as the following venn diagram suggests.

I teach mutually exclusive outcomes directly after students have encountered venn diagrams. 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. From the venn diagram we see that the events x y and x y are mutually exclusive and together they form the event x. This probability video tutorial provides a basic introduction into mutually exclusive events with the use of venn diagrams.

This is the fifth lesson in the year 8 probability outcomes and venn diagrams scheme of work. 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. Two events are mutually exclusive if they cannot occur at the same time i e they have no outcomes in common. Let s take this basic knowledge or sets and venn diagrams a bit further to understand how they relate to mutually exclusive and non mutually exclusive events.

Take out a standard deck of 52. Instead of and you will often see the symbol which is the intersection symbol used in venn diagrams. If the union of two mutually exclusive sets is the universal set they are called complementary. Two events are non mutually exclusive if they have one or more outcomes in common.

Can t happen at the same time. In the venn diagram above the probabilities of events a and b are represented by two disjoint sets i e they have no elements in common. The relative frequency definition of probability independent events. 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.

We can use set theory and venn diagrams to illustrate this difference.