Theoretical probability is calculated based on all possible outcomes, while experimental probability is calculated based on observed outcomes from an experiment. The document provides examples of calculating theoretical and experimental probabilities from sample spaces involving marbles drawn from a bag, student juice preferences in a class, movie preferences in surveys, and dice rolls. Probabilities are provided as fractions of possible outcomes.

1. 9-6 Theoretical and Experimental Probability Find and compare experimental and theoretical probabilities

2. Use a graphing calculator to complete the table What should the probability have been? Probability using your results Times occurred 6 5 4 3 2 1

3. Create definitions for theoretical and experimental probability. Fill it into a t-table

6. Ex.) Two number cubes are rolled seventy-five times and a sum of 9 is rolled ten times. What is the experimental probability of rolling a sum of 9?

7. Do example 2 and 3 on page 394

8. In a survey, 100 people were asked to name their favorite Independence Day side dishes. What is the experimental probability of macaroni salad being someone’s favorite dish? 8 coleslaw 12 Macaroni salad 25 Green salad or vegetable 55 Potato salad Number of People Side Dish

9. Suppose 250 people attend the city’s barbecue. How many be expected to choose macaroni salad as their favorite side dish?

10. In a survey, 50 people were asked to pick which movie they would see this weekend. Twenty chose Horror Story , 15 chose The Ink Well , 10 chose The Monkey House , and 5 chose Little Rabbit . What is the experimental probability of someone wanting to see The Monkey House?

12. Workbook 9-6

14. p 395: 3-18