110 likes | 222 Views
Bell Work. Three-course dinners can be made from the menu shown. Find the sample space for a dinner consisting of an appetizer, entrée, and dessert. . Hint: Draw a tree diagram. Bell Work. Sample Space. Soup, Steak, Carrot Cake. Carrot Cake. Steak. Soup, Steak, Apple Pie. Apple Pie.
E N D
Bell Work Three-course dinners can be made from the menu shown. Find the sample space for a dinner consisting of an appetizer, entrée, and dessert. Hint: Draw a tree diagram
Bell Work Sample Space Soup, Steak, Carrot Cake Carrot Cake Steak Soup, Steak, Apple Pie Apple Pie Carrot Cake Soup, Chicken, Carrot Cake Chicken Soup Apple Pie Soup, Chicken, Apple Pie Carrot Cake Fish Soup, Fish, Carrot Cake Apple Pie Soup, Fish, Apple Pie Carrot Cake Salad, Steak, Carrot Cake Steak Apple Pie Salad, Steak, Apple Pie Carrot Cake Salad, Chicken, Carrot Cake Salad Chicken Apple Pie Salad, Chicken, Apple Pie Carrot Cake Salad, Fish, Carrot Cake Fish Apple Pie Salad, Fish, Apple Pie
Counting Outcomes • The Fundamental Counting Principle allows you to calculate the number of possible outcomes without creating a tree diagram and counting the possible outcomes in the sample space.
Let’s look back at the bell work… Sample Space Soup, Steak, Carrot Cake Salad, Steak, Carrot Cake Soup, Steak, Apple Pie Salad, Steak, Apple Pie Soup, Chicken, Carrot Cake Salad, Chicken, Carrot Cake Soup, Chicken, Apple Pie Salad, Chicken, Apple Pie Soup, Fish, Carrot Cake Salad, Fish, Carrot Cake Soup, Fish, Apple Pie Soup, Fish, Apple Pie 12 How many options did you find when you did the tree diagram? Let’s use the fundamental counting principle. 2 x 3 x 2 = 12
Counting Outcomes ✔Check Your Progress Find the total number of outcomes when choosing from bike helmets that come in three colors and two styles. 6
60; 1/60; unlikely ✔Check Your Progress If the Jeans Shop adds relaxed fit jeans to its selection, find the number of available jeans. Then find the probability of randomly selecting a 36 x 30 relaxed fit pair of jeans. Is it likely or unlikely that the size would be chosen?
✔Check Your UnderstandingRally Coach 4 x 3 = 12 20 x 7 = 140 12 x 7 = 84 3 x 4 = 12 6 x 2 x 2 = 24 4 x 2 x 2 = 16