WARM-UP 1) What is the probability of pulling any face card or a three of clubs from a standard deck of cards?

Counting Outcomes Have you ever seen or heard the Subway or Starbucks advertising campaigns where they talk about the 10,000 different combinations of ways to order a sub or drink?

Counting Outcomes Have you ever seen or heard the Subway or Starbucks advertising campaigns where they talk about the 10,000 different combinations of ways to order a sub or drink? When companies like these make these claims they are using all the different condiments and ways to serve a drink.

Counting Outcomes - These companies can use (2) ideas related to combinations to make these claims: (1) TREE DIAGRAMS (2) THE FUNDAMENTAL COUNTING PRINCIPLE

Counting Outcomes (1) TREE DIAGRAMS A tree diagram is a diagram used to show the total number of possible outcomes in a probability experiment.

Counting Outcomes (2) THE FUNDAMENTAL COUNTING PRINCIPLE The Fundamental Counting Principle uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space.

Counting Outcomes Example 1: Tree Diagrams. A new polo shirt is released in 4 different colors and 5 different sizes. How many different color and size combinations are available to the public? Colors – (Red, Blue, Green, Yellow) Styles – (S, M, L, XL, XXL)

Counting Outcomes Example 1: Tree Diagrams. Answer. Red Blue Green Yellow S M L XL XXL S M L XL XXL S M L XL XXL S M L XL XXL There are 20 different combinations.