1. Sample Space and Tree Diagrams Unit 1: Probability, Topic 1

2. Sample Space List of all possible outcomes of a certain event List outcomes in brackets Example: Flipping a coin Example: Rolling a die

3. Practice! 1.Picking a high school in Pitt County 2.Picking a state beginning with “O” 3.Picking a prime number from 1 to 30

4. Tree Diagrams Used to help organize larger sample spaces Example: Flipping two coins Sample space:

5. Example: Flipping a coin, then rolling a die

6. Example: All possibilities for buying a vehicle. Choose SUV or car for style. Choose Ford, Chevy, or Toyota for make. Choose red, black, navy, or silver for color.

7. Practice! 4. Back to the Subway problem, let’s make a tree diagram for that! BreadMeatCheese WhiteTurkeyAmerican WheatHamProvolone Italian Herbs & Cheese Roast BeefCheddar Honey OatSalami

8. Probability Probability is the chance or how likely it is that something will happen. Sometimes you can measure a probability with a number. 10% chance of rain Or you can use words such as impossible, unlikely, possible, even chance, likely or certain.

9. Probability The probability of an event occurring is represented by a number between 0 and 1, inclusive, or as a percentage between 0 and 100%. An event with a probability of 0 means it is impossible. An event with a probability of 1 means it is certain to occur. An event with a probability of ½ means each event is equally likely to occur.

10. Probability from Tree Diagrams Step 1: Count how many outcomes fit your criteria Step 2: Divide how many total outcomes there are Example: Roll a die, then flip a coin Find probability of: getting an even outcome getting heads getting an even and a heads

11. Practice! 5. Draw a tree diagram and find the probabilities. Choosing between a large, medium, small, or mini pizza. Toppings are extra cheese, pepperoni, beef, mushrooms, or pineapple. You can only choose one topping. a)getting a large pepperoni pizza b)getting beef pizza c)getting a small pizza with meat as a topping