suppose you roll a standard number cube once. are rolling 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 happen simultaneously. When you roll the number cube, it can only land on one number at a time. Therefore, the outcomes of rolling a 4 and rolling a 3 are separate and independent, making them mutually exclusive events.