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Drill #83. Open books to page 645. Answer questions #1 – 4 . a. State the sample and the population b. State whether the sample is biased or unbiased c. Classify the sample. 12-2 Counting Outcomes.
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Drill #83 Open books to page 645. Answer questions #1 – 4 . a. State the sample and the population b. State whether the sample is biased or unbiased c. Classify the sample
12-2 Counting Outcomes Objective: To count outcomes using a tree diagram, and to count outcomes using the Fundamental Counting Principal. Open books to page 650
(1.) Tree Diagram, (2.) Sample Space, and (3.) Event ** Tree Diagram: A diagram used to show the total number of possible outcomes of an event. Sample Space: The list of all possible outcomes for an event. Event: Any collection of one or more outcomes.
Tree Diagram* Example 1: page 650 Check your progress: page 650 Classwork: 12-2 Lesson Reading Guide #1 – 3
(4.) Fundamental Counting Principle ** Definition: If an event M can occur m ways followed by another N event that can occur n ways, then the event M followed by event N can occur in m(n) ways. Example: event M flipping a coin ( H or T) event N roll a die (6 sided) Total outcomes = 2 * 6 = 12
Fundamental Counting Principle* Example 2: page 651 Check your progress: page 651 Example 3: page 651 Check your progress: page 651 Classwork: 12-2 Lesson Reading Guide #4
(5.) Factorial ** Definition: The expression n!, read n factorial, is the product of all integers beginning with n and counting backward to one. Examples: n! = n * (n – 1) * (n – 2 ) * …* 2 * 1 4! = 4 * 3 * 2 * 1 8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Factorial* Example 4a, b: page 652 Check your progress 4A, B: page 652 Example 5a, b: page 652 Example 5A, B: page 652