Ch. 1 and 6 Notes Pages 20 and 21 P20 1.6: Probability P21 6.7: Permutations and Combinations.

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Permutations and Combinations

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Ch. 1 and 6 Notes Pages 20 and 21 P20 1.6: Probability P21 6.7: Permutations and Combinations

Experimental Probability Experimental Probability: Based on observation of actual events, tests, or experiments. Example: A quarterback throws 40 passes during a game. Thirty of the passes are completed. Find the experimental probability of the quarterback completing a pass.

Theoretical Probability Theoretical Probability: Based on what would happen in theory. Example: Find the theoretical probability of rolling a prime number when you roll a regular six-sided die.

Page 21 Permutations Example: Jon, Emily, Dan, Megan, and Stephanie are running for student council. The offices are President, Vice President, and Secretary. How many ways can these five students fill the positions? PresidentVice PresidentSecretary JEDMSJEDMS

Permutations Number of permutations: The number of ways that n items can be arranged r at a time. ORDER MATTERS! Example: Jon, Emily, Dan, Megan, and Stephanie are running for student council. The offices are President, Vice President, and Secretary. How many ways can these five students fill the positions? Notice that we can accomplish the same thing using the Multiplication Counting Principle.

Combinations Number of combinations: The number of ways that n items can be arranged r at a time. ORDER DOES NOT MATTER! Divides out possibilities that are the same items in a different order Example: A pizza menu offers 6 different toppings. How many ways can you choose 4 toppings for your pizza?

Examples!!! 1. You have 7 different textbooks: Latin, French, History, Geography, Math, Physics, and Chemistry. How many different ways can you arrange them on your shelf in your bedroom? 2. You have 7 differently colored tiles. How many ways can you choose 3 of them? 3. You have 6 friends. How many ways can you choose 4 of them to walk with you to lunch? 4. How many ways can you turn up 3 cards in order from a deck of 52 cards?

5. How many different six-letter arrangements of the letters in the word SPREAD begin with R and end with S, or begin with S and end with R? Challenge…

P20 1.6: Probability P21 6.7: Permutations and Combinations HW #18 1.6: P42 #1, 6, 7, 10, 15, : P348 #1, 2, 5, 6, 10-13, , 29-32, 40, 46-49, 56