4. On the following Venn diagrams, use shaded area to represent (a) (An B')UC (b) (A...
2.1. Use Venn diagrams to verify that (a) (A UB)UC is the same event as AU(BUC) (b) An(BUC) is the same event as (AnB)U(AnC); (c) A U (Br C) is the same event as (A U B) (A U C)
Problem3 For each of the following Venn diagrams, write the set denoted by the shaded area. a. A E We were unable to transcribe this image
Work on the following Venn diagram problems: 1) Shade the regions of the Venn diagram indicated by the following sets. 2) Write the new events (E) elements assuming that: S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10) A 11,2, 4,5,7 C (1, 2, 3, 5, 8, 10 B-12,3, 4, 6,9 (AUB)nC Shade (A'UB)UC E:
Use Venn diagrams to prove or disprove the following c) AU B (An B) u (A n B)u (A n B) d) A U (B n C) (AU B) n (AU C)
1. Let A, B and C be events in the sample space S. Use Venn Diagrams to shade the areas representing the following events (32 points) a. AU (ANB) b. (ANB) U ( AB) C. AU ( ANB) d. (AUB) N (AUC)
Use membership tables (i.e., no set identities or Venn diagrams) to demonstrate that 4. Use membership tables (i.e., no set identities or Venn diagrams) to demonstrate that ((Y U Z) n (X UZ)) – (Y nz) and (2 U(Y nx)) ((CY NZ) ux)u((YnZ)n x)) are equivalent expressions. (5 marks)
8. [10 pts.] Use the following Venn diagram defines the events A, B, and C, where the numbers in each region represent the total amount of outcomes in that region. 1 7 a. Determine the number of outcomes in ANBNC. b. Determine the number of outcomes in (ANB)' = C. Find P (AN(BUC)). = d. Find P(BIA). e. Are the events A and C independent? Explain.
5. If possible, draw Venn Diagrams illustrating the following conditions: (a) (A B) = (Cr) B), and A C. (b) (A u B) (C u B), and A = C. 6.-7. Prove or disprove using Truth Tables that 8. Let X = { a, b, c }, Ys { 2, 3 }. List the elements of (a) Y x X (b) Yx Xx Y 9-12. Given the following formula, shade in the area of the Venn diagram that it represents....
2.4. Use Venn diagrams to verify that if A is contained in B, then AnB A and AnB'.
Along with region 2,3,&4 X 8.2.41 Question Help 0 Draw a Venn diagram and use the given information to fill in the number of elements for each region. n(A) = 35, n(B) = 30, n(A'UB') = 52, n(ANB) = 11 COD 2 Region 1 has clements