9 6 Theoretical And Experimental Probability

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9 6 Theoretical And Experimental Probability

  1. 1. 9-6 Theoretical and Experimental Probability Find and compare experimental and theoretical probabilities
  2. 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. 3. Create definitions for theoretical and experimental probability. Fill it into a t-table
  4. 4. <ul><li>Suppose you have a bag with 75 marbles: 15 red, 5 white, 25 green, 20 black, and 10 blue. You draw a marble, note its color, and then put it back. You do this 75 times with these results: 12 red, 9 white, 27 green, 17 black, and 10 blue. Find each probability as a fraction in simplest form. </li></ul>Theoretical probability Experimental probability P(blue) P(black) P(green) P(white) P(red)
  5. 5. Suppose you surveyed the students in your class on their favorite juice flavors. Their choices were 6 apple, 10 orange, 1 grapefruit, and 3 mango. Find each probability as a fraction in simplest form. <ul><li>P(apple) </li></ul><ul><li>P(orange) </li></ul><ul><li>P(grapefruit) </li></ul><ul><li>P(not mango) </li></ul>
  6. 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. 7. Do example 2 and 3 on page 394
  8. 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. 9. Suppose 250 people attend the city’s barbecue. How many be expected to choose macaroni salad as their favorite side dish?
  10. 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?
  11. 11. <ul><li>Suppose 300 people are expected to attend a movie theater this weekend to see one of the four movies mentioned above. How many can be expected to see The Monkey House . </li></ul>
  12. 12. Workbook 9-6
  13. 13. Venn Diagram <ul><li>Experimental vs. Theoretical Probability </li></ul>
  14. 14. p 395: 3-18

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