Question

A six-sided number cube is rolled. Which events are mutually exclusive?









A.

rolling a 5; rolling an odd number








B.

rolling a 2; rolling an even number








C.

rolling a 6; rolling an odd number








D.

rolling a 6; rolling an even number

Answer 1

Mutually exclusive events are events that cannot occur together simultaneously.

So, do you think it's possible to roll a 5 and have an odd number at the same time?

Answer 2

As Kirbykirby said, Mutually exclusive events can occur at the same time.

Let's analyse, the options given,

A. rolling a 5; rolling an odd number

5 is an odd number, rolling a 5 is a subset of rolling an odd number -> therefore, not mutually exclusive

B. rolling a 2; rolling an even number

Again, 2 is an even number, thus rolling a 2 is a subset of rolling an even number -> therefore, not mutually exclusive

C. rolling a 6; rolling an odd number

Now, rolling a 6 [6 is an even number]. If you roll a 6, you can't roll and odd number -> therefore, they are mutually exclusive.

D. rolling a 6; rolling an even number

Again, 6 is an even number, thus rolling a 6 is a subset of rolling an even number -> therefore, not mutually exclusive


Thus, the correct answer is C. rolling a 6; rolling an odd number !

Answer 3

thanks!