Problem

Use the theoretical method to determine the probability of the given outcome or event. Assume that the die is fair. Rolling a single six-sided die and getting a 4 or 5 . The probability rolling a single six-sided die and getting a 4 or 5 is $\square$. (Type an integer or a simplified fraction.)

Solution

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 \( \boxed{\frac{1}{3}} \).

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