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Chances, Probabilities, and Odds

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Presentation on theme: "Chances, Probabilities, and Odds"β€” Presentation transcript:

1 Chances, Probabilities, and Odds
Discrete Math Chances, Probabilities, and Odds

2 Sample Space: All possible outcome in a given experiment
Name the sample space of flipping 2 coins 𝐻𝐻,𝐻𝑇,𝑇𝐻,𝑇𝑇

3 Multiplication Rule The number of items in each group is multiplied to find the total combinations I have 5 dress pants, 6 shirts and 9 ties. How many possible outfits do I have? 5βˆ—6βˆ—9=270 π‘œπ‘’π‘‘π‘“π‘–π‘‘π‘ 

4 Permutation v. Combination
Permutation: Order Matters 𝑛 𝑃 π‘Ÿ = 𝑛! π‘›βˆ’π‘Ÿ ! Combination: Order does not Matter 𝑛 𝐢 π‘Ÿ = 𝑛! π‘›βˆ’π‘Ÿ !π‘Ÿ!

5 The board of directors of XYZ Corporation has 15 members.
How many different slates of four members (a President, a Vice President, a Treasurer, and a Secretary) can be chosen? 15 𝑃 4 How many delegations of four members can be chosen? 15 𝐢 4

6 Problems Page 577 #2-36 even

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