\begin{tabular}{l} What is the probability that the dice lands on a number less than 3 ? \\ - What is the probability that the dice lands on a 3 ? \\ - \( 2,5=50 \% \) \\ \hline\end{tabular}

To solve the problem, we need to determine the probabilities of certain outcomes when rolling a standard six-sided die. 1. **Extract known conditions:** - A standard die has six faces numbered from 1 to 6. - We need to find: - The probability of landing on a number less than 3. - The probability of landing on a 3. 2. **Calculate the probabilities step by step:** - **Probability of landing on a number less than 3:** - The numbers less than 3 on a die are 1 and 2. - There are 2 favorable outcomes (1 and 2). - The total number of possible outcomes when rolling a die is 6. - The probability \( P(A) \) can be calculated as: \[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{6} = \frac{1}{3} \] - **Probability of landing on a 3:** - There is only 1 favorable outcome (3). - The total number of possible outcomes remains 6. - The probability \( P(B) \) can be calculated as: \[ P(B) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{1}{6} \] 3. **Final results:** - The probability that the die lands on a number less than 3 is \( \frac{1}{3} \). - The probability that the die lands on a 3 is \( \frac{1}{6} \). Thus, the answers are: - Probability of landing on a number less than 3: \( \frac{1}{3} \) - Probability of landing on a 3: \( \frac{1}{6} \)