Unit 10-3 Geometric Probability

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Presentation transcript:

Unit 10-3 Geometric Probability Introduction to probability

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

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

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

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 12 Dessert 9 8 x 4 x 6 x 12 x 9 = 20, 736 options

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

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?

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?