Fundamental Counting Principle and Sample Space

Use the Fundamental Counting Principle to find out how many total outcomes you have: You go to an ice cream shop and get to choose: (flavor: Chocolate, Vanilla, Strawberry, Swirl), (scoops: 1, 2, or 3), (toppings: Sprinkles, Gummi Bears, Nerds, Chocolate Chips), and (cone: Waffle or Sugar).

• 96

• 4

• 14

• 240

The Fundamental Counting Principle allows you to...

• see each and every possible outcome possibility in your sample.

• find the number of total outcomes in your sample.

• count how many times you must do a tree diagram.

• see how many outcomes will not show up on a tree diagram.

Use the Fundamental Counting Principle to find out how many total outcomes you have:

You are buying a car and have to make the following decisions: (brand: Toyota, Honda, Ford), (color: Red, Green, Blue, Black, Silver), (transmission: Manual or Automatic)

• 10

• 3

• 30

• 72

Use the Fundamental Counting Principle to find out how many total outcomes you have:

You go to an entertainment center and get to pick how to spend the day with friends: (activity 1: go-karts, bowling, mini golf), (food: hot dogs, corn dogs, hamburgers, pizza), and (activity 2: laser tag, arcade, skating)

• 80

• 10

• 3

• 36

Fundamental Counting Principle: A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 60

• 180

• 23

• 12

• 126

• 40

• 11

• 20

• 10

Fundamental Counting Principle:

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

(a)  

• 60

• 180

• 23

• 12

• 126

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 80

• 15

• 40

• 10

• 880

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

(a)  

• 80

• 15

• 40

• 10

• 880

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 80

• 15

• 40

• 10

• 880