Suppose you roll a standard number cube once. Are rolling a 4 and rolling a 3 mutually exclusive events? Explain.

Answer 1

Yes, rolling a 4 and rolling a 3 are mutually exclusive events because it is not possible to roll a single number that is both 4 and 3 at the same time. When you roll a standard number cube once, there are six possible outcomes, which are represented by the numbers 1, 2, 3, 4, 5, and 6. Since rolling a 4 and rolling a 3 are two different possible outcomes, they cannot occur simultaneously in a single roll of the dice. Therefore, these events are mutually exclusive.