Step 1 :Assume that the die is fair. We are rolling a single six-sided die and the event is getting a 4 or 5.
Step 2 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Step 3 :In this case, the favorable outcomes are rolling a 4 or a 5, which are 2 outcomes.
Step 4 :The total number of outcomes when rolling a six-sided die is 6.
Step 5 :So, the probability is \( \frac{2}{6} \).
Step 6 :This can be simplified to \( \frac{1}{3} \).
Step 7 :Final Answer: The probability of rolling a single six-sided die and getting a 4 or 5 is \( \boxed{\frac{1}{3}} \).