Mutually Exclusive Events and Non-Mutually Exclusive Events

Mathematics

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A combined event A and B is known as a mutually exclusive event

There is no intersection between events A and B,

The combined events

The combination of two or more events in an outcome

Sample space

Set that contains all the possible outcomes of an experiment

Possible number of outcomes

n(S) is all the possible number of outcomes, n(A) and n(B) represent the number of outcomes of event A and event B

Event A and event B are independent events

The occurrence of event A has no effect on the occurrence of event B and vice versa

Multiplication rule of probability

P(A and B) = P(A) × P(B)

A tree diagram displays all the possible outcomes of an event

Each branch in the tree diagram represents a possible outcome

P(A and B)

P(A or B)

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