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Sample Space Date: 03/24/11 By: Mr. Menjivar Warm-Up You roll a standard number cube once. Find the each probability in fraction, decimal, and percent. 1. P(4) 2. P(multiple of 2) 3. P(8) Standard SDAP 3.1: Represent all possible outcomes for compound events in an organized way and expressed the theoretical probability of each outcome. Objectives To make and use sample spaces To use the counting principle Vocabulary Sample Space → collection of all possible outcomes in an experiment Example 1 (Using a Table) Make table to find the sample space for rolling two number cubes colored red and blue. Write the outcomes as ordered pairs. Example 1 Find the probability of at least one 3. Example 2 (Using a Table) Give the sample space for tossing two coins. Find the probability of getting two heads Example 3 (Using a Tree Diagram) Suppose you are going to travel on a river. You have two choices of boats, which are a kayak or a rowboat. You can go upstream on three smaller streams, to the north, northwest, and northeast. What is the sample space for your journey? Example 3 (Using a Tree Diagram) What is the probability of selecting a kayak and going directly north? The Counting Principle Suppose there are m ways of making one choice and n ways of making a second choice. Then there are m x n ways to make the first choice followed by the second choice. Example If you can choose a shirt in 5 sizes and 7 colors, then you can choose among 5 x 7, or 35, shirts. Example 4 (Counting Principle) The Deli Counter Sandwiches How many different sandwiches can you French Breads Deli Meats order when you choose Rye Roast Beef one bread and one meat Wheat Turkey from the menu? White Ham Pita Pastrami Wrap Salami Liverwurst Independent Practice Pg. 459 [9-14 all] and [16-19] Challenge: Pg. 460 [20, 21, 24, 25, 26, 27] Challenge: Pg. 458 [1-7 all] Homework Pg. 361 [1-8 all] Pg. 362 [1-10 all] Exit Slip Write each fraction as a decimal and as a percent. 31 1. 50 19 2. 20 11 3. 40 11 4. 10