1. Unit 10-3 Geometric Probability
Introduction to probability

2. Vocabulary Sample space Tree Diagram Two-stage experiment
Multi-stage experiment
Fundamental counting Principal
The set of all possible outcomes
An organized table of (branches) which shows possible experiment outcomes.
An experiment with two stages or events
An experiment with more than two stages or events
A method used to determine the number of possible outcomes in a sample space by multiplying the number of possible outcomes from each stage or event

3. EMPIRICAL PROBABILITY
The empirical (mathematical) probability
Number of favorable outcomes
E =
Total number of outcomes
So….the empirical probability that if you toss a coin, and it would land on tails would be…… 1
E = 2

4. EMPIRICAL PROBABILITY
Desiree is preparing for Prom and must decide what to wear. Assume one of each is chosen
options # of choices
Dress 15
Shoes 5
Purse 3
Earrings 4
Necklace 2
15 x 5 x 3 x 4 x 2 = 1800 options

5. EMPIRICAL PROBABILITY
Marcus is creating a new menu for his restaurant. Assume one of each item is ordered.
Menu Titles # of Choices
Appetizer 8
Soup 4
Salad 6
Entrée
Dessert 9
8 x 4 x 6 x 12 x 9 = 20, 736 options

6. EMPIRICAL PROBABILITY
Haley has selected a size and overall style for her class ring. Now she must choose from the ring options shown. How many different rings could Haley create in her chosen style and size?
Ring options # of choices
Metals 10
Finishes 2
Stone colors 12
Stone cuts 5
Side 1 activity 20
Side 2 activity 20
Band styles 2
10 x 2 x 12 x 5 x 20 x 20 x 2 = 960,000 options

7. EMPIRICAL PROBABILITY
Each time you perform the action, you must multiply a ratio….
What would be the Empirical Probability if you toss a coin 5 times, and have heads each time?
Is this a two-step or multi-step problem?

8. EMPIRICAL PROBABILITY
Each time you perform the action, you must multiply a ratio….
You have regular die (six sides). What is the probability of rolling an even number?
Is this a two-step or multi-step problem?
What would be the probability of rolling an even number, then, another even number?