# Mutually Exclusive Events Worksheets

What Are Mutually Exclusive Events? In probability, the result achieved, and the outcomes obtained from experiments are termed as the events. Some of these events are related to each other, while some bear no relation between themselves. In simpler terms, some events influence and affect the occurrence of the other event, and some don’t render any effect at all. In probability, we study two kinds of events, simple and compound events. When a single experiment occurs, and a single outcome is generated, it is known as the simple event. Compound events are those where more than one outcome is possible. These compound events are further divided into two categories; mutually inclusive and mutually exclusive events. Mutually exclusive events are those events that cannot happen at the same time. In such situations, when one event takes place, it often hinders the second event from happening. Mutually exclusive events always have different outcomes. For instance, if you get a head on a coin toss, you won't get a tail on the same coin toss. Events like these are mutually exclusive. Another way to understand these events is by rolling of a fair-die. The probability of getting a 4 when you roll a die is 1/6. There is only one 4 on the die, and the possible outcomes are 6. In these cases, it is impossible to get a 4 and 5 together upon rolling a single die. Events like these are known as mutually exclusive events.

• ### Basic Lesson

Guides students through the beginner skills of Mutually Exclusive Events. A pair of dice is rolled. What is the probability that the sum of the numbers rolled is either 7 or 11? Six outcomes have a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) P(7) = 6/36 Two outcomes have a sum of 11: (5,6), (6,5) P(11) = 2/36The sum of the numbers cannot be 7 and 11 at the same time, so these events are mutually exclusive. P(7 or 11) = P(7) + P(11) = 6/36 + 2/36 = 8/36 = 2/9

• ### Intermediate Lesson

Demonstrates how to use advanced skills to tackle Mutually Exclusive Events problems. Such as: Drawing the ace of spades from a deck of standard cards.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Mutually Exclusive Events.

• ### Independent Practice 2

Students use Mutually Exclusive Events in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Mutually Exclusive Events.

• ### Skill Quiz

This tests the students ability to understand Mutually Exclusive Events.