Lesson: Mutually Exclusive Events Mathematics

In this lesson, we will learn how to identify mutually exclusive events and find their probabilities.

Lesson Plan

Objectives

Students will be able to

understand what mutually exclusive events are and determine if two or more events are mutually exclusive,
know that the probability of two mutually exclusive events occurring at the same time is zero and therefore know subsequent probability rules involving mutually exclusive events:
- ,
- ,
- ,
use facts about mutually exclusive events to solve probability problems.

Prerequisites

Students should already be familiar with

probability of simple events,
basic rules of probability,
Venn diagrams,
operations on events, such as a union and an intersection,
complementary events.

Exclusions

Students will not cover

independent events,
exhaustive events.

Lesson Video

Lesson Explainer

Sample Question Videos

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01:12
02:15

Lesson Worksheet

Q1:

If a die is rolled once, then what is the probability of getting an odd and an even number together?

Q2:

A bag contains 41 balls. There are 28 red balls which are numbered 1 to 28 and 13 white balls which are numbered 29 to 41. If a ball is chosen from the bag at random, what is the probability of the ball being red and having an even number?

Q3:

Two mutually exclusive events and have probabilities and . Find .