Probability – Compound Events

What is a Compound Event?

It is the probability of two or more things happening at once.

Lightning strike!

What’s the probability you will be struck by lightning?

ORGANIZED LISTS

List all the possible outcomes that could occur.

PROBLEM #1

If you were flipping a fair coin and rolling a die, what is the probability of getting tails and even number.

PROBLEM #2

Mary Louise has a closet filled with 5 shirts – Blue, White, Red, Yellow and Purple and 4 pants – Black, white, gray and brown.

What is the probability of her blindly reaching into her closet and pulling out a pair of pants and shirt of the same color?

Black-Blue Black-White Black-Red Black-Yellow Black-Purple

White-Blue White-White White-Red White-Yellow White-Purple

Grey-Blue Grey-White Grey-Red Grey-Yellow Grey-Purple

Brown-Blue Brown-White Brown-Red Brown-Yellow Brown-Purple

PROBLEM #3If you toss a coin three times, what is the probability of getting at least two heads.

Flip 1 Flip 2 Flip 3H H H

H H T

H T H

H T T

T H H

T H T

T T H

T T T

TREE DIAGRAMIf you were flipping a fair coin and rolling a die, what is the probability of getting tails and even number.

Mary Louise’s ClosetTree Diagram

AREA MODELSIN THE CLOSET…Mary Louise has a closet filled with 5 shirts – Blue, White, Red, Yellow and Purple and 4 pants – Black, white, gray and brown.

Two heads are better than one!

What did we learn today?

• COMPOUND EVENTS• ORGANIZED LISTS• TREE DIAGRAMS• AREA MODELS

• HOMEWORK – pg 12 # 1 - 15