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 they cannot occur at the same time. When you roll a standard number cube once, there is only one outcome, and that outcome can only be one number. Therefore, rolling a 4 and rolling a 3 are separate events that cannot happen simultaneously.

Answer 2

use simpler terms

Answer 3

Rolling a 4 means getting a 4 on the dice, while rolling a 3 means getting a 3 on the dice. Since you can only get one number when you roll a dice once, getting a 4 and getting a 3 cannot happen at the same time. So, rolling a 4 and rolling a 3 are mutually exclusive events.