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Bellwork

Bellwork. Explain the difference between theoretical probability and experimental probability. Tree Diagrams. Used to show combinations. Show all the different ways a bowl of cereal can be made at a breakfast bar given the cereals and types of milk. EX #1. Tree Diagrams show combinations.

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Bellwork

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  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. EX #1

  4. Tree Diagrams show combinations Granola Frosted Flakes Cap’n Crunch 2% Skim 1% 2% 2% Skim 1% Skim 1% Choosing granola with skim milk represents ____% of the possible outcomes. What is the probability of your mom choosing Frosted Flakes and 1% milk? What are all the possible combinations? How many possible outcomes are there? How many possible combinations are there? 9 11 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? Tennis shoes Flip flops Galoshes 2) How many different outcomes are there? Hoodie T-shirt Jeans Khakis Cords PJ Tennis shoes Flip flops Galoshes 24 Tennis shoes Flip flops Galoshes Hoodie T-shirt 3) What is the probability that Polly picked pajama pants, a t-shirt, and flip flops? Tennis shoes Flip flops Galoshes Tennis shoes Flip flops Galoshes Hoodie T-shirt 4) What percentage does a combination of khakis, a hoodie, and tennis shoes represent? Tennis shoes Flip flops Galoshes Hoodie T-shirt Tennis shoes Flip flops Galoshes 4% Tennis shoes Flip flops Galoshes

  6. How many different combinations did you find? The Counting Principle 9 Multiply the number of choices for each category to find the total number of combinations 3 • 3 24 4 • 2 • 3

  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. 12 Tree diagram 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? The counting principle • • 2 vases 2 plants 3 flowers 12 EX #2

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

  11. YOU TRY 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? 1 8 13%

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