1. **State the problem:** We want to find the probability of rolling a 1 or 2 on a fair six-sided die and flipping tails on a fair coin in one trial. 2. **Identify the events:** - Event A: Rolling a 1 or 2 on the die. - Event B: Flipping tails on the coin. 3. **Calculate the probability of each event:** - Probability of A, $P(A) = \frac{2}{6} = \frac{1}{3}$ because there are 2 favorable outcomes (1 or 2) out of 6 possible outcomes. - Probability of B, $P(B) = \frac{1}{2}$ because the coin has 2 sides and tails is one of them. 4. **Since the die roll and coin flip are independent events, the combined probability is:** $$P(A \text{ and } B) = P(A) \times P(B) = \frac{1}{3} \times \frac{1}{2} = \frac{1}{6}$$ 5. **Final answer:** The probability of getting a 1 or 2 on the die and tails on the coin is $\boxed{\frac{1}{6}}$.