COUNTING METHODS AND TECHNIQUES IN AN EXPERIMENT.pptx

COUNTING METHODS AND TECHNIQUES IN AN EXPERIMENT.

1. COUNTING METHODS AND TECHNIQUES IN AN EXPERIMENT a) Table; (b) Tree Diagram; (c) Systematic Listing; (d) Fundamental Counting Principle.

2. OBJECTIVES: List all possible outcomes in an experiment using: Table; Tree Diagram; Systematic Listing; and Fundamental Counting Principle; Count the number of occurrences of an outcome in an experiment: (a) Table; (b) Tree Diagram; (c) Systematic Listing; (d) Fundamental Counting Principle; and Demonstrate appreciation of listing the outcomes in an experiment using Table; Tree Diagram; Systematic Listing; and Fundamental Counting Principle; as an important skill needed to understand the concept of counting the number of occurrences of an outcome in an experiment.

3. If you know me, answer me!

4. If you know me, answer me! The extent to which something is probable. Any activity with an observable result, wherein its outcome is subject to uncertainty. Result of the experiment. Set of all possible outcomes.

5. If you know me, answer me! The extent to which something is probable. Any activity with an observable result, wherein its outcome is subject to uncertainty. Result of the experiment. Set of all possible outcomes. 1. Probability

6. If you know me, answer me! The extent to which something is probable. Any activity with an observable result, wherein its outcome is subject to uncertainty. Result of the experiment. Set of all possible outcomes. 1. Probability 2. Experiment

7. If you know me, answer me! The extent to which something is probable. Any activity with an observable result, wherein its outcome is subject to uncertainty. Result of the experiment. Set of all possible outcomes. 1. Probability 2. Experiment 3. Outcome

8. If you know me, answer me! The extent to which something is probable. Any activity with an observable result, wherein its outcome is subject to uncertainty. Result of the experiment. Set of all possible outcomes. 1. Probability 2. Experiment 3. Outcome 4. Sample Space

9. What can you see in the picture?

10. What can you see in the picture? WEATHER

11. WEATHER Probability plays an essential part in weather forecasting. We can predict the weather of that region by applying science, which is what weather forecasters do.

12. COUNTING METHODS AND TECHNIQUES IN AN EXPERIMENT Table Tree Diagram Systematic Listing The Fundamental Counting Principle

13. Table / Tabular Method – used to organize outcomes from the experiment from putting them into rows and columns. Example. Two coins were tossed at the same time and the sides facing up are noted. What are the possible outcomes of the experiment. Possible Outcomes 1 st Coin 2 nd Coin

14. Table / Tabular Method Possible Outcomes 1 st Coin 2 nd Coin

15. Table / Tabular Method Possible Outcomes 1 st Coin 2 nd Coin Possible Outcomes 1 st Coin Head Tail 2 nd Coin Head Tail

16. Table / Tabular Method Possible Outcomes 1 st Coin 2 nd Coin Possible Outcomes 1 st Coin Head Tail Head, Tail 2 nd Coin Head Tail Tail, Head Head, Head Tail, Tail S = (Head, Head), (Head, Tail), (Tail, Head), (Tail, Tail)

17. Tree Diagram allows us to see all possible outcomes of an event and calculate the probability. Each branch in a tree diagram represents a possible outcome of an experiment. Example. Marina wants to buy a jewelry box as a gift. It comes in red, blue, yellow, and has either gold or silver lock. What are all of Marina's possible options?

18. Tree Diagram

19. Tree Diagram

20. Tree Diagram

21. Tree Diagram

22. Systematic Listing organizes outcomes and groups them in a systematic way for easier enumeration of results. Example: Consider the flowers yellow daisy, white lily, red rose, yellow gumamela , red sta. ana. List the possible outcomes of putting two flowers in a vase granted that they are not of the same color.

23. Systematic Listing

24. Systematic Listing

25. Fundamental Counting Principle identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. Example: A housing complex offers apartments with three different options, designated through A to C. Studio type, one bedroom, two bedrooms. First floor, second floor, third floor. With room service, without room service. How many options are available?

26. Fundamental Counting Principle Example: A housing complex offers apartments with three different options, designated through A to C. Studio type, one bedroom, two bedrooms. First floor, second floor, third floor. With room service, without room service. How many options are available?

27. Group Activity Each group will have the same given but they will answer it depending on the technique or method that they picked. Find the sample space of the given experiment. Experiment: Tossing 1 coin and rolling a die GROUP 1 Table / Tabular Method GROUP 2 Tree Diagram GROUP 3 Systematic Listing GROUP 4 Fundamental Counting Principle

28. Answers!

29. If you know me, answer me! It is used to organize outcomes from the experiment from putting them into rows and columns. It identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. It organizes outcomes and groups them in a systematic way for easier enumeration of results. It allows us to see all possible outcomes of an event and calculate the probability. Each branches represents a possible outcome of an experiment.

30. If you know me, answer me! It is used to organize outcomes from the experiment from putting them into rows and columns. (Table) It identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. It organizes outcomes and groups them in a systematic way for easier enumeration of results. It allows us to see all possible outcomes of an event and calculate the probability. Each branches represents a possible outcome of an experiment.

31. If you know me, answer me! It is used to organize outcomes from the experiment from putting them into rows and columns. (Table) It identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. (Fundamental Counting Principle) It organizes outcomes and groups them in a systematic way for easier enumeration of results. It allows us to see all possible outcomes of an event and calculate the probability. Each branches represents a possible outcome of an experiment.

32. If you know me, answer me! It is used to organize outcomes from the experiment from putting them into rows and columns. (Table) It identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. (Fundamental Counting Principle) It organizes outcomes and groups them in a systematic way for easier enumeration of results. (Systematic Listing) It allows us to see all possible outcomes of an event and calculate the probability. Each branches represents a possible outcome of an experiment.

33. If you know me, answer me! It is used to organize outcomes from the experiment from putting them into rows and columns. (Table) It identifies the total number of possible final selections or outcomes by multiplying the number of choices for each decision. (Fundamental Counting Principle) It organizes outcomes and groups them in a systematic way for easier enumeration of results. (Systematic Listing) It allows us to see all possible outcomes of an event and calculate the probability. Each branches represents a possible outcome of an experiment. (Tree Diagram)

34. Thank you for listening!