Question

The union of two events A and B is the event that: a) Both A and B occur. b) Either A or B, but not both occur. c) A and B occur at the same time. d) Either A or B or both occur. e) The intersection of A and B does not occur. f) None of the above

Answer 1

Answer:

Option A

Explanation:

From the definition of Union, which means to bring together or to join together one or more event or characteristics together.

So in this case, since we have two events bound to occur, applying the definition of union, It means that events A and B will occur.

Answer 2

Answer: d. Either A or B or Both occur

Explanation: The union of two independent event is the combination of the two independent event, where the two mixed is called intercept. Therefore for event A and event B, the union is the combination of both, where some part of it intercept also. The part that intercept means that both event can occur, while the part that did not intercept means that either of the event can occurs.

Please see attached picture to understand it more better, using a vein diagram.

The shaded part of the diagram shows the union of event A and B. You can see that an intercept is also part of the union of A and B.