UNION AND INTERSECTION OF EVENT for Grade 10.pptx

union and intersection of events

1. UNION AND INTERSECTION OF EVENTS

2. OBJECTIVES Illustrate the union and intersection of events Solve problems involving union and intersection of events; and Applying the concept of union and intersection of events to real-life scenarios.

3. ACTIVITY: “ FOUR PICS ONE WORD Directions: Guess the word that describe the 4 pictures. Refer to the given letter as hint of the correct word. Write your answer to any sheet of paper.

4. U_ _ _ _

5. I_ _ _ _ _ _ _ _ _ _ _

6. E_ _ _ _ _

7. What is Experiment? What is Sample space? What is Event?

8. Experiment Sample space (S) Events (E) Tossing a coin Head {H} Tail{T} The event that a head will occur. E=(H) Rolling a dice S={1,2,3,4,5,6} The event even numbers appears. E={2,4,6}

9. Let us first illustrate the Union of events A and B , written A U B is the set of all elements that are in A or in B, or in both A and B. Example 1: A={1,3,5,7} B={1,2,3,4} Note: In writing the union of all the elements, there is no repetition of elements. AUB={1,2,3,4,5,7}

10. The Intersection of events A and B , written A Ո B, is the event containing the elements that are in both A and B. Example 2: A={1,3,5,7,9} B= {2,3,5,7,11} A ՈB={3,5,7}

11. The Intersection of events A and B , written A Ո B, is the event containing the elements that are in both A and Example 2: A={1,3,5,7,9} B= {2,4,6,8,10}

12. Example 3: Let’s try to find the union and intersection of events. A={1,2,3,5,7} C={2,4,6,8} B= {2,3,5,7} D={2,3,4,5} A Ո B= A U B= A Ո C= C U D= A U D=

13. Directions : The class will be divided in four groups. Each group will select their leader, secretary and reporter. Every group will receive an envelope which has a marker, manila paper and guide questions that will be answered. Each group is given 10 minutes to answer the question inside the envelope and after that, the work of each group will be posted on the board and be reported by the reporter.

14. Extra-curricular activities participated by senior students

15. Problem: The extracurricular activities in which the senior class at Navagan National High School participate are shown in the Venn diagram. Answer the questions that follows. Questions: How many students are in the senior class? How many students participate in the band? How many students participate in the drama? How many students participate in the drama and band? How many students did not participate in the drama? How many students did not participate in the band? How many students did not participate in any activity at all?

16. What do you notice about the answer in number 1? What do we call a set containing all elements of other sets? How about with number 4? What do you notice about our answers in number 4?

17. Problem: At a breakfast buffet, 93 people choose coffee for their beverage and 47 people choose juice. 25 people choose both coffee and juice. How many people visited the buffet? Illustrate it using the Venn diagram. Direction: Find the union and intersection of an events and illustrate it using the Venn diagram. A={1,4,8,9} C={2,4,7,8,9} B= {2,4,7,8} D={1,3,5,7} A Ո B= A U B= A Ո C= C U D= A U B U D=

18. Assignment FOLLOW UP: Create one situation about combination then answer the problem that you have created. ADVANCED: Study about Probability of Compound Events.

19. THANK YOU!