Question 3 Let S be the sample space, where: S = {1, 2, 3, ..., 10, 11, 12} Let events A and B be subsets of S, where: Set A = {6, 7, 10, 12} Set B = {1, 5, 6, 7, 8, 9, 10, 11, 12} Set C = {1, 3, 8, 9, 10, 11} Find the following: LIST the elements in the event A": A = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the event B": B" = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the event (An B"): (An B") = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the event (B n A"): (BnA') = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the event (A U B) ': (AUB) = { Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the event (An C): (And) = {. Question 4 The Venn diagram here shows the number of people in each event, A, B, C. Use this to find the number of people in the given event. A B 15 14 Co C 1 0 number of people in the event (An B n Of) =.Question TH { l 3" {Zonsider a six sided die. Let A be the event that an even number is rolled and B the event that the number rolled is at most a 4. Find each of the following sets. Enter your answers by listing the elements separated by commas. Do not put a comma after the last number. If the set is empty, enter DNE. E. f. 3. re A and B mutuallyr exclusive events? C" 1"nl'lutuall3.,ur exclusive C" Hot mutually exclusive