EVENTS AND UNION AND INTERSECTION OF EVENTS.pptx

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1. GOOD MORNING!!!

2. EVENTS AND UNION AND INTERSECTION OF EVENTS

3. UNION AND INTERSECTION OF EVENTS

4. SETS Sets are  an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces “{}”

5. ELEMENTS Elements are the objects in a set are called the elements of the set; Usually the elements of a set are other mathematical objects, such as numbers, variables, or geometric points.

6. UNION OF EVENTS The union of events is the collection of all outcomes that are elements of one or the other of the sets A or B, or of both of them. A union B can be written as A∪B.

7. EXAMPLE What is A∪ B if the given set are: A = { 1,2,3,4,5,6} B = {2,4,5,7,8,9} ANSWER : A∪ B {1,2,3,4,5,6,7,8,9}

8. 2 4 5 7 8 9 1 3 6 A B

9. EXAMPLE What is A∪B if the given set are: A = {1,2,3,4,5,6} B = {7,8,9,11,13,14 } ANSWER : A ∪ B= { 1,2,3,4,5,6,7,8,9,11,13,14}

10. 1 2 3 7 8 9 A B 4 5 6 11 13 14

11. INTERSECTION OF EVENTS the intersection of events A and B written as A∩B, is the event containing the elements that are in both A and B.

12. EXAMPLE What is A ∩ B if the given sets are: A = {1,2,3,4} B= {2,4,6,8 } ANSWER: A ∩ B= {2,4}

13. 2 4 1 3 6 8 A B

14. EXAMPLE What is C ∩ D if the given sets are: C = {6,7,8,9} D= {3,5,6,7} ANSWER: A ∩ B= {6,7}

15. 6 7 8 9 3 5 C D

16. EXAMPLE What is Y ∩ Z if the given sets are: Y = {0,1,2,3 } Z= {4,5,6,7 } ANSWER: A ∩ B={} “Empty Set”

17. LET’S TRY!!! Given the following sets: A= {3,5,7,9} B= {1,2,4,6} C= {2,4,6,8} D= {1,3,6,7}

18. LET’S TRY!!! F ind: 1. B ∪C 4. A∩ C 2. A∩ D 5 . C∩ D 3. A ∪ B

19. ASSIGNMENT Find the following Union and Intersection using the following sets: Q = { E,R,T,U,Y} P= { F,H,O,R,T} Z= {H,P,R,T,W} X= {B,F,L,M,N} FIND: 1. Q∪P 2. Z ∩ X 3. Q ∪ Z 4. P ∩ Z 5. Q ∩ X

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