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Let's analyze the problem:

You are asked to find the probability of rolling an **odd number** or a number **less than 6** on a single roll of a six-sided die.

### Step-by-step solution:

1. **Total possible outcomes on a six-sided die**:  
   The numbers on a die are {1, 2, 3, 4, 5, 6}, so there are 6 possible outcomes.

2. **Odd numbers on a die**:  
   The odd numbers on a six-sided die are {1, 3, 5}.  
   Thus, there are 3 odd numbers.

3. **Numbers less than 6**:  
   The numbers less than 6 are {1, 2, 3, 4, 5}, which gives 5 numbers in total.

4. **Numbers satisfying both conditions (odd and less than 6)**:  
   The numbers that are both odd and less than 6 are {1, 3, 5}.  
   This overlap consists of 3 numbers.

5. **Union of both events (odd or less than 6)**:  
   To avoid double-counting, the formula for the union of two events is:  
   \[
   P(\text{odd or less than 6}) = P(\text{odd}) + P(\text{less than 6}) - P(\text{odd and less than 6})
   \]
   Substituting the values:  
   \[
   P(\text{odd or less than 6}) = \frac{3}{6} + \frac{5}{6} - \frac{3}{6} = \frac{5}{6}
   \]

### Final answer:
The probability of rolling an odd number or a number less than 6 is **5/6**.

Do you need any more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is the probability of rolling an even number or a number greater than 2?
2. How would the probability change if the die had 8 sides instead of 6?
3. What is the probability of rolling exactly a 3 or a number greater than 4?
4. If you roll the die twice, what is the probability that at least one roll is odd?
5. How can you calculate the probability of rolling two odd numbers consecutively?

**Tip:** When calculating the probability of multiple events, always check for any overlap in cases to avoid double-counting!

A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 6.

Learn how to find the probability of rolling an odd number or a number less than 6 on a six-sided die. This problem uses basic probability concepts, including the addition rule to calculate the probability of multiple events.

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