1. Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make a tree diagram to show all the possible outfits. Counting Principle What is the probability you will select the black capri pant and the pink T- shirt when selecting an outfit at random?

2. Lindsey flips a coin and rolls a number cube at the same time. Draw a tree diagram to display the possible choices. What is the probability you will get a heads and an even number?

3. 1.) How many possible outcomes are there for flipping a coin three times? 2.) P(exactly two heads)3.) P(one head) 4.) P(three tails)5.) P(at least two tails) Draw a tree diagram to show all the possible outcomes for flipping a coin three times.

4. Critical Thinking: What's the shortcut for finding the total number of possible choices in the coin/# cube problem. Answer: Multiply the number of choices from each category. This shortcut is called the "Counting Principle" 2 6 = 12 choices coin # cube

5. Examples of the Counting Principle: 1.) Jordan has a choice of wheat bread or rye bread and a choice of turkey, ham, or tuna for lunch. How many possible sandwich choices are there? bread lunch meat =

6. 2.) Jimmy is buying a new car and has a different choices as to the options. There are, 6 different exterior colors 2 interior colors 4-cylinder, 6-cylinder, or 8-cylinder engine single CD or 6-CD player How many different cars does Jimmy have to chose from? =

7. Sample space- a list of all possible outcomes Below is a chart listing the sample space for rolling two number cubes. Use the chart to answer the following. 1.) P(sum of 12) 2.) P(sum of 3) 3.) P(sum of7)4.) P(rolling at least one 3)

8. Make a chart to list the sample space for tossing a coin two times. P(two heads) P(one head) P(at least two heads)

9. 1.) An Italian restaurant offers small, medium and large calzones. The choices of fillings are cheese, sausage, spinach or vegetable. How many different calzones can you order? 2.) There are four different flavors of ice-cream at Lynn’s Luscious Ice Cream shop (vanilla, chocolate, strawberry and chocolate-chip). There are three different types of sauce (caramel, chocolate and strawberry) How many different types of sundaes are possible? Demonstrate Understanding:

10. 3.) Make a table to show the sample space for tossing a coin and spinning a spinner with five equal sections that are numbered 1-5. 4.) P(heads, 2) 5.) P(tails, odd)