To determine the probability of rolling a number less than 3 on a 6-sided die:

1. Possible outcomes of a 6-sided die: $\{1, 2, 3, 4, 5, 6\}$.
2. Favorable outcomes (numbers less than 3): $\{1, 2\}$, so there are 2 favorable outcomes.
3. Total outcomes: 6 (since the die has 6 sides).

The probability is calculated as:

$P(\text{rolling a number less than 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3}.$

Final Answer:

The probability is:

$\boxed{\frac{1}{3}}$

Would you like a detailed explanation of probability concepts or have any other questions?

Here are 5 related questions to expand your understanding:

1. What is the probability of rolling an even number on a 6-sided die?
2. What is the probability of rolling a number greater than 4?
3. How does the probability change if you roll a 12-sided die instead?
4. What is the complement of rolling a number less than 3?
5. Can you calculate the probability of rolling a number divisible by 3?

Tip: Always check if events are mutually exclusive or complementary when solving probability problems!