Question

Jack rolls a fair six-sided dice. For each pair of

events below, decide whether the events are
mutually exclusive. If the events are not mutually
exclusive, give an example to show why.
Pair A:
Pair B:
Pair C:
Rolling an even number
Rolling a prime number
Rolling an even number
Rolling an odd number
Rolling an even number
Rolling a number smaller than 3

Answer 1

Step-by-step explanation:

Answer 2

Pairs A and C are not mutually exclusive, while Pair B is mutually exclusive.

Step-by-step explanation:

In order to determine if the pairs of events are mutually exclusive, we need to consider if the events share any common outcomes. If the events share at least one outcome, they are not mutually exclusive. Let's consider each pair:

Pair A: Rolling an even number and Rolling a prime number. These two events are not mutually exclusive because the number 2 is both even and prime.

Pair B: Rolling an even number and Rolling an odd number. These two events are mutually exclusive because no number can be both even and odd.

Pair C: Rolling an even number and Rolling a number smaller than 3. These two events are not mutually exclusive because the number 2 is both even and smaller than 3.