1. Bellwork Explain the difference between theoretical probability and experimental probability.

2. Tree Diagrams Used to show combinations

3. Show all the different ways a bowl of cereal can be made at a breakfast bar given the cereals and types of milk. CerealMilk GranolaSkim Frosted Flakes1% Cap’n Crunch2% EX #1

4. CerealMilk GranolaSkim Frosted Flakes1% Cap’n Crunch2% Tree Diagrams show combinations GranolaFrosted FlakesCap’n Crunch 1% 2% Skim 1% 2% Skim 1% 2% Skim How many possible outcomes are there? 9 What is the probability of your mom choosing Frosted Flakes and 1% milk? Choosing granola with skim milk represents ____% of the possible outcomes. 11 What are all the possible combinations? How many possible combinations are there? EX #1

5. YOU TRY Polly woke up late and threw her clothes on in the dark. In her pants drawer, she picked from jeans, khakis, corduroys and pajama pants. In her closet, she either grabbed a hoodie or a t-shirt. On her way out the door, her choices were tennis shoes, flip flops, and galoshes. 1) What are all the different combinations? Jeans Khakis Cords PJ Hoodie T-shirt Hoodie T-shirt Hoodie T-shirt Hoodie T-shirt Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes 2) How many different outcomes are there? 24 3) What is the probability that Polly picked pajama pants, a t-shirt, and flip flops? 4) What percentage does a combination of khakis, a hoodie, and tennis shoes represent? 4%

6. CerealMilk GranolaSkim Frosted Flakes1% Cap’n Crunch2% PantsTopShoes JeansHoodieTennis shoes KhakisT-shirtFlip flops CorduroysRain boots Pajama pants How many different combinations did you find? 9 24 33 423 The Counting Principle Multiply the number of choices for each category to find the total number of combinations

7. Tree diagrams: SHOW you all the combinations/outcomes The counting principle: tells you the NUMBER of combinations/outcomes

8. A florist is arranging centerpieces that include a flower, a plant, and a base. The florist has 2 kinds of vases, 2 kinds of plants, and 3 kinds of flowers to choose from. Show all the different centerpieces that are possible. Tree diagram 12 EX #2

9. A florist is arranging centerpieces that include a flower, a plant, and a base. The florist has 2 kinds of vases, 2 kinds of plants, and 3 kinds of flowers to choose from. How many different centerpieces are possible? 2 vases 2 plants 3 flowers 12 The counting principle EX #2

10. Main dish Side dish Drink SteakRiceTea ChickenPotatoWater 1) Show all the different combinations by creating a tree diagram. 2) Determine the number of combinations by using the counting principle. YOU TRY 8 2 ● 2 ● 2 =

11. 3) What is the probability of your grandpa ordering steak, potatoes, and tea? 4) What percentage of the possible outcomes represents the combination of chicken, rice, and water? YOU TRY 1818 13%