Get out your ISN!

You will be able to illustrate mutually exclusive with a Venn Diagram.

You will be able to find the probability of using the Addition Rule.

Today’s Objectives:

Warm UpExample: Ask you to pick a number between 1 and 5, and then flip a coin.1. Draw a tree diagram to illustrate.

2. Write out the Sample Space, { }

3. Find .

4. Find .

TOC

WWK31-32 Mutually Exclusive &

Mutually Exclusive—two events are mutually exclusive if they CANNOT occur at the same time.NOT Mutually Exclusive—two events that CAN occur at the same time.Addition Rule of Probability—a way to find the probability that either or both of two events occurs.

Addition Rule

Big Picture

Addition Rule of

The Addition Rule of Probability is the focus of today’s lesson.

This Rule works with the concept of Mutually Exclusive/NOT Mutually Exclusive.

The relationship is crucial!

Probability

Venn DiagramsMutually Exclusive

NOT Mutually Exclusive

THE COMMON OUTCOME

NO COMMON OUTCOMES

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FRONT

INSIDE

Fold it in half.

Do NOT cut anything!

Foldable

Extra PracticeCircle which of the following are mutually exclusive. 1. Red card and a Heart

2. Ace and Diamond

3. Club and Spade

4. Number 2-10 and Black

Can a Jack and a 7 happen at thesame time on the same card?

𝑷 (𝑨𝒐𝒓𝑩)=𝑷 (𝑨)+𝑷 (𝑩)ANSWER: NO, therefore it is Mutally Exclusive

Can a Heart and an Ace happenat the same time on the

𝑷 ( 𝑨𝒐𝒓𝑩 )=𝑷 ( 𝑨 )+𝑷 ( 𝑩)−𝑷 (𝒃𝒐𝒕𝒉)

same card?

Why is this necessary?

ANSWER: YES, therefore it is NOT Mutally Exclusive

Do you see how there are TWO Ace’s of Hearts?

We have to subtract ONE

of them so there isn’t a

DOUBLE.

Can a Heart and an Ace happenat the same time on the same card?

𝑷 ( 𝑨𝒐𝒓𝑩 )=𝑷 ( 𝑨 )+𝑷 ( 𝑩)−𝑷 (𝒃𝒐𝒕𝒉)

Foldable

(ME)

(NOT)

Practice Problems

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(NOT)

Practice Problems

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(NOT)

Practice Problems

(ME)? or (NOT)?

(ME)? or (NOT)?

Practice Problems

(NOT)

(NOT)

Practice Problems

(ME)? or (NOT)?

(ME)? or (NOT)?

Practice Problems

(ME)? or (NOT)?

(ME)? or (NOT)?

Right Side Input

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11/12Mutually Exclusive &

Addition Rule

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11/12 LeftSide Input

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