1. **State the problem:** We toss two six-sided dice. Event A: The first die lands on 1 or 2. Event B: The second die lands on 5. We want to find the probability that both events occur simultaneously. 2. **Recall the formula for independent events:** $$P(A \text{ and } B) = P(A) \times P(B)$$ This applies because the outcome of the first die does not affect the second die. 3. **Calculate each probability:** - For Event A, the first die can be 1 or 2, so there are 2 favorable outcomes out of 6. $$P(A) = \frac{2}{6}$$ - For Event B, the second die must be 5, so 1 favorable outcome out of 6. $$P(B) = \frac{1}{6}$$ 4. **Calculate the combined probability:** $$P(A \text{ and } B) = \frac{2}{6} \times \frac{1}{6} = \frac{2}{36}$$ 5. **Simplify the fraction:** $$\frac{2}{36} = \frac{\cancel{2}^1}{\cancel{36}^ {18}} = \frac{1}{18}$$ **Final answer:** $$P(A \text{ and } B) = \frac{1}{18}$$