Question

Given the following information, Event A includes outcomes 2, 4, 6 and Event B includes outcomes 1, 3, 5. Based on the information provided, Events A and B are:______.
A. Mutually exclusive.
B. Non-mutually exclusive.
C. Simple.

Answer 1

Answer:

A. Mutually exclusive

Step-by-step explanation:

We are given that

Event A={2,4,6}

Event B={1,3,5}

Event A and B=A∩B={2,4,6}∩{1,3,5}={}

As events A and B have no outcome in common, so it means that event A and B are mutually exclusive events.

We can say that event A and event B are not non-mutually exclusive.

Simple events are those which have only one outcome like {1} or {2} etc.

Thus, we conclude that event A and event B are mutually exclusive events.