Lesson 10.8 AIM: Drawing Tree Diagrams and solving Permutations.

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Presentation transcript:

Lesson 10.8 AIM: Drawing Tree Diagrams and solving Permutations

DO NOW 4) The probability of an event falls between 0 and 1. The probability of an event can also be equal to 0 or 1.

What do we use Tree Diagrams for? A tree diagram shows all the possible outcomes of an event.

Baskin Robins Tree Diagram ChocolateVanillaStrawberryPeppermint SM&MsPSSS PPP SRSRSRSRSRSRSRSRSRSRSRSR There are 24 ways to eat your ice cream

What is a Permutation? A permutation is an arrangement of events where order matters.

How many ways can a horse win first place? 5 ways How many ways can a horse win second place? 4 ways How many ways can a horse win third place? 3 ways Solution: 5 x 4 x 3 = 60 ways How many ways can 5 horses win first, second, and third place in a race? This is a permutation (order matters!)

How many letters can be the first letter? 5 letters How many letters can be the second letter? 4 letters How many letters can the third letter? 3 letters Solution: 5 x 4 x 3 = 60 arrangements