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Examples: • Chance Process: Rolling a 10-sided die. o Event A: Rolling an odd number o Event B: Rolling a prime number a. What is the sample space? b. List the outcomes in each event. c. Draw a Venn diagram representing the sample space with subsets A and B. d. List all the outcomes in A B∪ . e. List all the outcomes in A B∩ . f.
In the previous section, we represented the intersection R ∩ S and union R ∪ S or two sets R and S with a picture where the sets are drawn as regions in the plane.
2.5. Union, Intersection, and Complement 2 Definition 2.24. The union of sets A and B is the set A∪B = {x | x ∈ A or x ∈ B}. The intersection of A and B is the set A∩B = {x | x ∈ A and x ∈ B}. Example 2.25. Let A = {1,2,3,4}, B = {0,1,3,5,7}, and C = {2,4,6,8}. Then
To shade the set we need to compare the Venn diagram for A with the Venn diagram for B′, and bear in mind the meaning of union. We combine these two Venn diagrams using set union.
14 sty 2023 · Basic Venn diagrams can illustrate the interaction of two or three sets. Create Venn diagrams to illustrate A ∪ B, A ∩ B, A ∪ B, A ∩ B, and A′ ∩ B A ′ ∩ B. A ∪ B A ∪ B contains all elements in either set. A ∩ B A ∩ B contains only those elements in both sets - in the overlap of the circles.
You should also know how to represent the complement, union and intersections of sets on a Venn diagram: Complement Intersection Union l A A l AB A B l A A B B The special conditions A B and A B can be represented on a Venn diagram as: Disjoint sets Subsets l AB A B A l B A B 1.1 The language of sets You have already studied sets (for either ...
Represent the set (A ∩ B0) ∪ C on a Venn diagram. We can start by shading A ∩ B0 and C. We get the following diagram: The darker colour means that this region has been shaded twice. Now we want the union ∪ of these two sets, this means that we take everything that has been shaded at least once, so the answer will be:
