If you roll one die and flip one coin, does the occurrence of a particular outcome on the die affect the probability of a particular outcome on the coin? Why or why not?

No, because these events are independent.

Step-by-step explanation:

When we roll one die (a fair die), we will have outcomes in the numbers from 1 to 6.

And when we flip a coin, we will have either a heads or a tails.

Now these two events are independent events as the occurrence of any result in one event is not affecting the result of second event,

Hence, these two are independent events. So, the answer is no, the occurrence of a particular outcome on the die will not affect the probability of a particular outcome on the coin.