1. 14.2 Warm Up 1. Ms. Palomaa needs to pick a queen and king for her 1 st hour class. She has 10 girls and 12 boys in her class. How many different ways can she pick a queen and king? 2. Moveo Dance Company is preparing for their dance performance. They are trying to make as many different costumes from the pieces that they have purchased. They have a red skirt, blue shorts, black pants, a gray top, a white top, and a black t-shirt. How many different costumes can they make?

2. 14.2 Warm Up Answers 1. Ms. Palomaa is rearranging her seating chart for 1 st hour. She has 10 girls and 12 boys in her class. How many different ways can she arrange her seating chart? 10 * 12 = 120 different ways 2. Moveo Dance Company is preparing for their dance performance. They are trying to make as many different costumes from the pieces that they have purchased. They have a red skirt, blue shorts, black pants, a gray top, a white top, and a black t-shirt. How many different costumes can they make? 3 * 3 = 9 different costumes

3. Lesson 14.2 Probability Sample Space

4. Probability is the chance that something will happen. The result of each experiment is call an Event or Outcome. The set of all possible outcomes is the Sample Space. Because each probability is a fraction of the sample space, the sum of the probabilities of all the possible outcomes equals one. Sample Space

5. Probability- Sample Space Example: The probability of picking a red marble from a jar that contains 4 red marbles and 6 blue marbles There are 10 possible outcomes. You will either draw one of the 4 red marbles or one of the 6 blue marbles. So your sample space will be ___? In this example, the probability of picking a red marble would be: ______ or ________. 10 Given this example, the probability of picking a red marble plus the probability of picking a blue marble will equal 1 (or 100 percent). 4/10 2/5

6. Sample Space If sample space means the set of all possible outcomes, then what is the sample space for the situation below? You have two quarters and you are flipping to see the outcome. What is the sample space? The sample space could be _________________ What is the size of the sample space? ___ { HH, HT, TH, TT } 4

7. Example: Find the sample space if a coin is tossed then a dice is rolled. Heads Tails 6 5 4 3 2 1 6 5 4 3 2 1 (Heads,1) (Heads,2) (Heads,3) (Heads,4) (Heads,5) (Heads,6) (Tails,1) (Tails,2) (Tails,3) (Tails,4) (Tails,5) (Tails,6) What is the size of the sample space? How many total outcomes are there? 12

8. Example: Make a tree to find the sample space, then answer the questions. A card is picked from 1-4 and then a coin is flipped. What is the size of the sample space ____? 1234 HTHTHTHT (1,H) (1,T) (2,H), (2,T) (3,H), (3,T), (4,H),(4,T) 8

9. Summary: In your own words, define sample space. How confident do you feel in your ability to find sample space?

10. Homework Worksheet 14.2