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

Rolling a 4 and rolling a 3 on a standard number cube are mutually exclusive events because they cannot both occur on the same roll. A standard number cube only has numbers 1 through 6 on its faces, so it is not possible for both a 4 and a 3 to be rolled at the same time. This means that these events have no outcomes in common and are therefore mutually exclusive.