# Creating Tree Diagrams to find Theoretical Probability

## Presentation on theme: "Creating Tree Diagrams to find Theoretical Probability"— Presentation transcript:

Creating Tree Diagrams to find Theoretical Probability
We are learning to…find the theoretical probability of an event. Saturday, April 15, 2017

Vocabulary Theoretical Probability - Probability that is based on likelihood of an event happening based on all the possible outcomes. One way to determine theoretical probability is to build a TREE DIAGRAM A Tree Diagram is a way to visually represent and organize all the possible outcomes of an experiment.

Each end “branch” represents one possible outcome!
Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order: Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts Caramel Each end “branch” represents one possible outcome! How many possible outcomes are there? Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge 24 Total Outcomes! Mint Peanuts Caramel Hot Fudge Bananas Caramel

Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts What is the theoretical probability of a person walking into the store and ordering: strawberry ice cream, with bananas and hot fudge sauce? Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel

Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge What is the theoretical probability of a person walking into the store and order any type of ice cream with sprinkles and caramel sauce? Vanilla Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel

Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts What is the theoretical probability of a person walking into the store and ordering vanilla ice cream with any kind of topping and sauce? Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel

Each end “branch” represents one possible outcome!

Make a tree diagram to find all of the possible outcomes in this experiment.

Make a tree diagram to find all of the possible outcomes in this experiment.

Make a tree diagram to find all of the possible outcomes in this experiment.

Make a tree diagram to find all of the possible outcomes in this experiment.