Mutually Exclusive Events

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Mutually Exclusive
Learning Objective:
Determine whether events are mutually exclusive or not, Interpret and solve problems of mutually exclusive events.

Mutually Exclusive

Mutually Exclusive- Two events that have no outcomes in common or
_______________ happen at the same time (there is no overlap in the sample spaces).

Two events are _____ mutually exclusive if they _________ happen at the same time (meaning there is overlap in the sample spaces).

Mutually Exclusive

A.) You randomly select an 8 or a face card from a standard deck of cards.

Not Mutually Exclusive

b.) You randomly select a face card or a diamond from a standard deck of cards.

​Cannot

​NOT

​CAN

​4

​12

​9

​3

​52 cards

​ 8 face Card

​Face Card Diamond

Both (Diamond, Jack, Queen, King)

​10

​A.) You randomly select an 8 or a face card from a standard deck of cards.

Mutually Exclusive

​Can't happen at the same time. No overlap in sample space.

B.) You randomly select a face card or a diamond from a standard deck of cards.

​Not Mutually Exclusive

Can happen at the same time. Overlap in Sample Space.

Multiple Choice

True or False: Mutually Exclusive Events CAN'T happen at the same time and do not have outcomes in common.

• True

• False

Multiple Choice

True or False: Not Mutually Exclusive Events CAN happen at the same time and do have outcomes in common.

• True

• False

Multiple Choice

Determine if the events are Mutually Exclusive or Not Mutually Exclusive:

Event A: Is a democrat

Event B: Is a republican

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Determine if the Events are Mutually Exclusive or Not Mutually Exclusive:

Event A: You are walking.

Event B: You are talking.

• Not Mutually Exclusive

• Mutually Exclusive

Multiple Choice

Determine if the Events are Mutually Exclusive or Not Mutually Exclusive:

Event A: It is October

Event B: It is Halloween

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Determine if the Events are Mutually Exclusive or Not Mutually Exclusive:

Event A: Student is in Math 2

Event B: Student is in Calculus

• Mutually Exclusive

• Not Mutually Exclusive

Mutually Exclusive

1.) Pulling a king or a 3 out of a deck of 52
cards.

2.) Rolling a 3 or a 6 of a 6 on a six-sided die.

NOT Mutually Exclusive

3.) Pulling a King or a hearts out of a deck of
52 cards.

4.) Rolling an even number or a number
greater than 3 on a 6-sided dice

Mutually Exclusive

1.) Pulling a king or a 3 out of a deck of 52
cards.

2.) Rolling a 3 or a 6 of a 6 on a six-sided die.

NOT Mutually Exclusive

4.) Rolling an even number or a number
greater than 3 on a 6-sided dice

​

Mutually Exclusive

2.) Rolling a 3 or a 6 of a 6 on a six-sided die.

NOT Mutually Exclusive

3.) Pulling a King or a hearts out of a deck of
52 cards.

4.) Rolling an even number or a number
greater than 3 on a 6-sided dice

​

Mutually Exclusive

1.) Pulling a king or a 3 out of a deck of 52
cards.

2.) Rolling a 3 or a 6 of a 6 on a six-sided die.

NOT Mutually Exclusive

3.) Pulling a King or a hearts out of a deck of
52 cards.

4.) Rolling an even number or a number
greater than 3 on a 6-sided dice

​

Mutually Exclusive

1.) Pulling a king or a 3 out of a deck of 52
cards.

2.) Rolling a 3 or a 6 of a 6 on a six-sided die.

NOT Mutually Exclusive

4.) Rolling an even number or a number
greater than 3 on a 6-sided dice

​

You Try
Lets look at the next two problems and decide if they are Mutually exclusive or Not Mutually Exclusive.

(Don't say your answer out loud you will enter it as your answers in the next slides)

Multiple Choice

Is the event Mutually Exclusive or Not

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Is the event Mutually Exclusive or Not

• Mutually Exclusive

• Not Mutually Exclusive

• Now that we know if the events are Mutually Exclusive or Not Mutually Exclusive. Find the Probability to each problem. I will post the answers shortly for you to check your work.

• If you got the answer correct please begin your homework.

• If you didn't get it correct please raiser your hand and ask for help so we may assist you. You may then begin your homework.

• When you are done DO NOT close your Chromebooks as we have one more question to cover at the end of class.

Mutually Exclusive or Not?

Identify if the event is mutually exclusive or not, then find the probability.

1.)A jar contains eight balls, numbered from 1-8. You randomly
select a ball that is a 1 or a 6.

Mutually exclusive or Not Mutually Exclusive

2.)You randomly select an ace, or a spade from a standard deck of cards.

Mutually exclusive or Not Mutually Exclusive

Mutually Exclusive or Not?

Identify if the event is mutually exclusive or not, then find the probability.

1.)A jar contains eight balls, numbered from 1-8. You randomly
select a ball that is a 1 or a 6.

Mutually exclusive or Not Mutually Exclusive

2.)You randomly select an ace, or a spade from a standard deck of cards.

Mutually exclusive or Not Mutually Exclusive

Poll

On a scale from 1 to 5 how did you feel about today's lesson

• 5

  Feeling Great

• 4

• 3

  Somewhere in beween

• 2

• 1

  Help I need tutoring