The symbol ∪ represents the union of events. The union of two events A and B results in an event that contains all the sample points of event A or event B or both events. Therefore, A ∪ B is a new event that lists the sample points of event A or event B or both events. Recall the set notation used for an event with k sample points. event = {sample point 1, sample point 2, , sample point k} Event A is made up of the sample points E1, E4, and E6 and event B is made up of the sample points E2, E4, and E7. Thus, the union of events A and B will have what sample points that are contained in either A or B?
Accepted Solution
A:
Answer:AUB = {E1, E2, E4, E6, E7}Step-by-step explanation:Since we are to look for the union of the two sets, therefore we combine all the sample points that are contained in A and B without repeating any sample even if such sample occur in both sets. For example, E4 occurs in event A and B and as such will only be repeated once in the union of the two events.AUB = {E1, E2, E4, E6, E7}Note that the way you arrange does not matter as well. I hope you find this solution useful?