Do Now 1. Read through the lab on page 374 and answer question #1 individually. 2. With your partner from yesterday complete the lab on page 374. The labeled tiles are on the front desk.

Chapter 9 Lesson 2 Tree Diagrams Objective: Use tree diagrams to count outcomes and find probabilities

Lab Number in your notebooks Record for each toss whether you get an even or an odd. 2.Determine how many odd tosses you had and then determine how many times you tosses an even. 3.What were your results?

Fair Game A game in which players of equal skill have an equal chance of winning.

Tree Diagram Is used to show all the possible outcomes or sample space in an experiment.

Sample space The set of all possible outcomes

A certain type of scooter comes in silver, red or purple with wheel sizes of 125 mm or 180 mm. Find the total number of color-wheel size combinations ScooterWheelSample space ColorSize Silver Red Purple 125 mm 180 mm 125 mm 180 mm 125 mm 180 mm Silver, 125 mm Silver, 180 mm Red, 125 mm Red, 180 mm Purple, 125 mm Purple, 180 mm

Example 2-1b COINS A game involves flipping two pennies. Draw a tree diagram to show the sample space of the results in terms of heads and tails. Then determine the probability of flipping one head and one tail. Answer:

Example 2-2a ICE CREAM An ice cream sundae at the Ice Cream Shoppe is made from one flavor of ice cream and one topping. For ice cream flavors, you can choose from chocolate, vanilla, and strawberry. For toppings, you can have hot fudge, butterscotch, or marshmallow. Find the number of different sundaes that are possible. Make a tree diagram to show the sample space.

Example 2-2b Answer: There are nine different sundaes possible.

Example 2-2c CARS A new car can be ordered with exterior color choices of black, blue, red, and white, and interior color choices of tan, gray, and blue. Find the number of different cars that are possible. Answer: 12

Example 2-3a ICE CREAM An ice cream sundae at the Ice Cream Shoppe is made from one flavor of ice cream and one topping. For ice cream flavors, you can choose from chocolate, vanilla, and strawberry. For toppings, you can have hot fudge, butterscotch, or marshmallow. If you are given a sundae at random from the Ice Cream Shoppe, what is the probability that it has vanilla ice cream? Make a tree diagram to show the sample space. Then, find the probability that the sundae has vanilla ice cream.

Example 2-3b The sample space contains 9 possible outcomes. There are three outcomes having vanilla ice cream.

Example 2-3c Answer: So, the probability that a sundae chosen at random has vanilla ice cream is