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

Yes, they are. They cannot happen both. Every time that you roll a cube you can get only one number, then if you roll a 4 you cannot roll a 3 at the same tiem, and if you roll a 3 you cannot roll a 4 at the same time.

Mutually exclusive events cannot happen at the same time.