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5. (a) Write out the set P({a, 2,0}). (b) For sets A, B and C, draw...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U)=196 Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
#9-11 please 9. Let A and B be disjoint sets in the universe U. Let C be a proper subset of A. (a) Draw a Venn Diagram representing this information. (b) What is BAC? 10. Let A be a set in the universe U. (a) Draw a Venn Diagram and shade in the region A. Then draw another Venn Diagram with the same set A, but shade in A'. (b) What is A'U A? 11. Give an example of three...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. 0.46 0.18 0.21 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A I B) -D
Your friend has asked you to draw a Venn diagram of two sets, A and B, and knows the following information: P(B) = P(A|B), P(A and Bc) = 0.25, P((A or B) C) = 0.35 Given this information, draw and label the four areas typically labeled in a Venn digram.
5. In a given sample space, there are events A and B with P(A) .5, P(B)4, and P(AnB) (a) What is P(AU B)? (b) What is P(A'nB')? 6. In a given sample space, there are events C and D with P(C) .5 and P(D)-8. Given this information: (a) what is the largest value that PCnDcould possibly be? (b) what is the smallest value that P(Cn D) could possibly be? (hint: use Venn diagrams.) . A bowl contains 4 slips of...
Consider sets A, B, and C where \(A \cap B \neq \emptyset\) and \(A \cap C \neq \emptyset\) and \(B \cap C \neq \emptyset\). Consider the following set expression:$$ \overline{((A \cup B)-(A \cap B)) \cup((B \cup C)-(B \cap C)) \cup((A \cup C)-(A \cap C))} $$a) Draw an appropriate Venn diagram and shade the area represented by the set expression above.b) Write the dual of the set expression above.c) Are the sets \(A \cap B, A \cap C\), and \(B \cap C\)...
5. Given events A and B in the sample space S, simplify the following sets. You can carry out the calculations using the laws of set operations. Alternatively, you can use Venn diagrams to find the answers. a. AU(An B) b. (AU(An B))'
2.9 a) Suppose that P(AU B) 0.8 and P(A'UB) 0.7. Find P(B). Hint: Fill out a Venn diagram.] b) Suppose that P(C) = 0.1 and P(D) 0.3. What are the possible values for P(C'D)?
55/E2 Discrete Mathematics Which of the following statements about sets is true? a. A set is a well-defined unordered collection of objects of b. The cardinality of a set cannot be negative estion c. Ifx e A orx e B then X E AUB d. The empty set is a subset of every set page EDUOASIS MAT 255/E2 | Discrete Mathematics Question 6 Let A and B be sets. Which of the following corresponds to the shaded part in the...
Draw a Venn diagram with 3 sets A, B, C and shade the part that shows ((A-B) ∪ (B-A)) ∩ C.