A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 6. The probability is $$ \square $$. (Type an integer or a fraction. Simplify your answer.)

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To find the probability of rolling an odd number or a number less than 6 on a six-sided die, we can follow these steps:

1. **Identify the total outcomes**: A six-sided die has the numbers {1, 2, 3, 4, 5, 6}. Therefore, the total number of outcomes is 6.

2. **Identify the favorable outcomes for each condition**:
   - **Odd numbers**: The odd numbers on a die are {1, 3, 5}. So, there are 3 favorable outcomes for rolling an odd number.
   - **Numbers less than 6**: The numbers less than 6 are {1, 2, 3, 4, 5}. So, there are 5 favorable outcomes for rolling a number less than 6.

3. **Use the principle of inclusion-exclusion**: Since some numbers are counted in both conditions (the odd numbers that are also less than 6), we need to account for that overlap.
   - The odd numbers less than 6 are {1, 3, 5}, which are all the odd numbers in this case. Thus, there are 3 outcomes that are both odd and less than 6.

4. **Calculate the total favorable outcomes**:
   $$
   \text{Total favorable outcomes} = (\text{Favorable outcomes for odd}) + (\text{Favorable outcomes for less than 6}) - (\text{Favorable outcomes for both})
   $$
   $$
   = 3 + 5 - 3 = 5
   $$

5. **Calculate the probability**:
   $$
   P(\text{odd or less than 6}) = \frac{\text{Total favorable outcomes}}{\text{Total outcomes}} = \frac{5}{6}
   $$

Thus, the probability of rolling an odd number or a number less than 6 is $$ \frac{5}{6} $$.
The probability is $$ \frac{5}{6} $$.

A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 6. The probability is \( \square \). (Type an integer or a fraction. Simplify your answer.)

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