1 / 20

Chapter 2 - Probability

Chapter 2 - Probability. 2.1 Probability Experiments. A six sided die was rolled repeatedly to determine if there was a tendency for one number to be rolled more than the others. The results are displayed in the graph below. Roll of a Die. Frequency. Number Rolled. Outcome

pravat
Télécharger la présentation

Chapter 2 - Probability

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2 - Probability 2.1 Probability Experiments

  2. A six sided die was rolled repeatedly to determine if there was a tendency for one number to be rolled more than the others. The results are displayed in the graph below. Roll of a Die Frequency Number Rolled

  3. Outcome • A possible result of an experiment

  4. Outcome • A possible result of an experiment Event • A set of outcomes with the same result

  5. Outcome • A possible result of an experiment Event • A set of outcomes with the same result • Trial • One round of a probability experiment

  6. Outcome • A possible result of an experiment Event • A set of outcomes with the same result • Trial • One round of a probability experiment • Experimental Probability • Determined using the results of an experiment or simulation

  7. The event that we are looking for is a 1 being rolled. That outcome will be defined as out “successful” trial. How many times was a 1 rolled?

  8. The event that we are looking for is a 1 being rolled. That outcome will be defined as out “successful” trial. How many times was a 1 rolled? • A roll of 1 was recorded to have happened five times.

  9. The event that we are looking for is a 1 being rolled. That outcome will be defined as out “successful” trial. How many times was a 1 rolled? • A roll of 1 was recorded to have happened five times. • How many times was the die rolled in total (what were the total number of trials)?

  10. The event that we are looking for is a 1 being rolled. That outcome will be defined as out “successful” trial. How many times was a 1 rolled? • A roll of 1 was recorded to have happened five times. • How many times was the die rolled in total (what were the total number of trials)? • 5 + 3 + 2 + 4 + 4 + 7 = 25

  11. What is the experimental probability of a rolling a 1? Express as a fraction, decimal and percent.

  12. What is the experimental probability of a rolling a 1? Express as a fraction, decimal and percent.

  13. What is the experimental probability of a rolling a 1? Express as a fraction, decimal and percent.

  14. What is the experimental probability of a rolling a 1? Express as a fraction, decimal and percent. 0.2 X 100% = 20%

  15. What is the experimental probability of not rolling a 1? Express as a fraction, decimal and percent?

  16. What is the experimental probability of not rolling a 1? Express as a fraction, decimal and percent? • The probability of not rolling a 1 would be • P(Not 1) = 20/25 = 4/5 • 4/5 = 0.8 • 0.8 X 100% = 80%

  17. How would you expect the heights of the bars to relate to each other?

  18. How would you expect the heights of the bars to relate to each other? • Because each number should have been equally likely to be rolled, the bar graph should have had all bars of equal height.

  19. How would you expect the heights of the bars to relate to each other? • Because each number should have been equally likely to be rolled, the bar graph should have had all bars of equal height. • This is the difference between theoretical and experimental probability. In the experiment, it is possible that the same number could be rolled over and over again in each of the 25 trials. • Experimental probability is a measure of what actually happened, not what is expected to happen.

  20. Homework: Read Example 2 on page 64-65 Do p. 66 # 1 – 4, 7, 9

More Related