Extracted text: Ouarter3. Module 6 What's In In the first lesson, you are taught of what is an event. An event is defined to be one of the subsets of a sample space. An event can be simple, compound, independent, dependent, certain, impossible, complementary or mutually exclusive. You are taught of how these types of events differ from one another and on how they can be seen or applied in the real world. For this lesson, you will be learning on the basic operations of events, the union and intersection of events. How will you be able to find the union of two or more events? How about its intersection if there is? These questions can be easily answered after learning this lesson. What's New Let's explore! How are you? You might be thinking this section will be another bunch of questions but for this part you will just simply count and list. You will surely enjoy while learning. Nowadays, even at home, it's easy to reach out people out there. Your next task will require you to randomly connect friends. Then ask their mobile sim card subscription. How many of your friends are Globe, Smart, Sun or other telecommunication subscribers? How many of them subscribers of two or more telecommunications? Can you possibly put the result of your survey in a Venn diagram? Let's try this True or false. Write true if the statement is true and false is otherwise. 1. The set of all elements in the union of two sets are common to both sets. 2. If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 8}, then A UB = {1, 2,3, 5,7,8, 9}. %3D %3D %3D 3. If U = {2, 4, 6, 8, 10} and C = {2, 4, 10}, then D = {6, 8, 12}. %3! %3D 14
Extracted text: 4. Two intersecting sets have at most one element in common. 5. If A UB has an element 2, then it means to say that 2 in an element of either A, B or both. 6. CND {1, 5}, means that 1 and 5 can be found in either C or D. 7. Disjoint sets are sets with no common element. 8. If the universal set U is the set of natural numbers and A is the set of even natural numbers, then for B as a complementary event of A, it's the set of odd natural numbers. 9. If Y nZ = {}, then it is safe to say that the two sets are disjoint. 10. In any two sets given, A -B = B - A. For numbers 11 to 15, refer to the figure below. A B a 7 13 12 10 e 1 11 g 14 8 b 4 11. The elements in set C are {b, c, f, 4, 6, 9, 8, 11} only. 12. AnC = {c, 6}. 13.BUC = {a,b, c, d, f, g, 1, 2, 4, 5,6,8,9, 10,11,13, 14}. 14. ANBNC = { ). 15. BnC = ANB 15 Einding the Probnbility