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Adv. Mathematical Decision Making Probability Tree Diagrams Name: Tree Diagrams Create-a-Sandwich Menu Bread Meat Cheese White Ham American Wheat Turkey Swiss Beef Provolone Muenster 1. Create a tree diagram showing all possible sandwiches from the choices above if one of each category is used to create the sandwich. 2. What is the probability you will select a sandwich with white bread? 3. What is the probability that a customer will select a sandwich with white bread? Explain your reasoning. 4. If sandwiches are randomly made where each option is equally likely in each category, what is the probability you would get a sandwich with American cheese? Explain your reasoning. 5. If sandwiches are randomly made where each option is equally likely in each category, what is the probability you would get a sandwich on wheat bread with ham and any cheese? Explain your reasoning 6. If sandwiches are randomly made where each option is equally likely in each category, what is the probability you would get a sandwich on white bread that has either beef or turkey and has Provolone cheese? Explain your reasoning. 7. If sandwiches are randomly made where each option is equally likely in each category, what is the probability you would get select a sandwich with neither beef nor Muenster cheese? Explain you reasoning At a car manufacturing plant each option is equally likely to be selected under each category to build a car. Student Worksheets created By Matthew M. Winking at Phoenix High School Model: Toyonda Gorvie Some Problems sunnested hy A Dana Center at the University of Texas () p.24 Trim Level Exterior Color Interior Color DX Black Black EX Red Gray si Blue White 8. Create a tree diagram showing all possible versions of the car from the choices above if one of each category is used to create the car. 9. If each option under each category is equally likely to be selected, what is the probability that the first car being made on a given day has a Black Exterior and a Black Interior? A church group in Washington state sells pumpkins every year to raise money for the children of their town. This year's crop, however, produced very small pumpkins. The group decided to construct a corn maze in a field and charge customers to walk through the maze. Customers can only walk forward. If the customers end up at an exit with pumpkins, they win a pumpkin. The church group asked some students to advise it on various possibilities of a customer getting a pumpkin. Students were shown a simple maze as an example y Upper path No pumpkins Middle path Pumpkins E No pumpkins Lower path