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 the conditions required for events to be mutually exclusive: ,
identify mutually exclusive and non-mutually exclusive events when given sufficient probabilities or a representative Venn diagrams,
find missing probabilities using the conditions for mutually exclusive and non-mutually exclusive events.

Prerequisites

Students should already be familiar with

the probability of simple events,
Venn diagrams,
the intersection and union of two events, including the rule .

Exclusions

Students will not cover

difference of events,
complementary events,
conditional probability.

Lesson Video

Lesson Explainer

Sample Question Videos

01:13
02:14
02:47

Lesson Worksheet

Q1:

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?

Q2:

Suppose that and are two mutually exclusive events. The probability of the event occurring is five times that of the event occurring. Given that the probability that one of the two events occurs is 0.18, find the probability of event occurring.

Q3:

A bag contains fifty-one balls numbered 1 to 51. If one ball is randomly drawn from the bag without looking, what is the probability that is is numbered 17 or 27? Give your answer as a fraction in its simplest form.