# Mutually exclusive events examples with solutions

Posted on

## Mutually Exclusive Events: Definition and Examples

Non-mutually Exclusive Probability

with   and   does   season episode

Tutorial on finding out whether two given events are mutually exclusive. However a quick review of sample space of an experiment and the events related to a sample space may be necessary. Two Mutually Exclusive Events Two events are mutually exclusive if they cannot occur at the same time. Example 1: A die is rolled. Let us define event E1 as the set of possible outcomes where the number on the face of the die is even and event E2 as the set of possible outcomes where the number on the face of the die is odd.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. Related Topics: More lessons on Probability In these lessons, we will learn how to find the probability of mutually exclusive events. We will also compare mutually exclusive events and independent events.

Definition of Mutually Exclusive Events:. If two events are such that they cannot occur simultaneously for any random experiment are said to be mutually exclusive events. We see that two simple-events are always mutually exclusive while two compound events may or may not mutually exclusive. Since X and Y are two mutually exclusive events then;. Worked-out problems on probability of Mutually Exclusive Events:. One card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a king or an ace?

Two or more events are called mutually exclusive if the occurrence of any one of them precludes the occurrence of any of the others. The probability of occurrence of two or more mutually exclusive events is the sum of the probabilities of the individual events. Sometimes when one event has occurred, the probability of another event is excluded referring to the same given occasion or trial. For example, throwing a die once can yield a 5 or 6, but not both, in the same toss. The probability that either a 5 or 6 occurs is the sum of their individual probabilities. What is the probability that it is either black or red?