what is the probability of rolling a 3 or a 4 with a 6 sided die

To calculate the probability of rolling a 3 or a 4 with a 6-sided die, you can follow these steps:

1. **Identify the total number of possible outcomes**:  
   A 6-sided die has 6 faces, so there are 6 possible outcomes (1, 2, 3, 4, 5, 6).

2. **Identify the favorable outcomes**:  
   The favorable outcomes are rolling either a 3 or a 4. There are 2 such outcomes.

3. **Calculate the probability**:  
   The probability \(P\) of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes:
   \[
   P(\text{3 or 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6} = \frac{1}{3}
   \]

So, the probability of rolling a 3 or a 4 with a 6-sided die is \(\frac{1}{3}\).

Would you like more details or have any other questions?

Here are 5 related questions:
1. What is the probability of rolling a number greater than 4 on a 6-sided die?
2. How do you calculate the probability of rolling an even number on a 6-sided die?
3. What is the probability of rolling a 1 or a 6 with two rolls of a 6-sided die?
4. If you roll two 6-sided dice, what is the probability of getting a sum of 7?
5. What is the probability of not rolling a 2 on a 6-sided die?

**Tip:** The sum of probabilities for all possible outcomes of a single roll of a die always equals 1.

Learn how to calculate the probability of rolling a 3 or a 4 with a 6-sided die. This problem involves basic probability concepts, including identifying favorable outcomes and calculating probabilities. Suitable for students in Grades 6-8.

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