1. **State the problem:** Helen rolls a dice and flips a coin. We need to find the probability that she gets a 4 on the dice and a tail on the coin. 2. **Understand the sample space:** The dice has 6 possible outcomes: 1, 2, 3, 4, 5, 6. The coin has 2 possible outcomes: Heads (H) or Tails (T). 3. **Total number of outcomes:** Since the dice and coin are independent, total outcomes = $6 \times 2 = 12$. 4. **Favorable outcomes:** We want the dice to show 4 and the coin to show tail (T). There is exactly 1 such outcome: (4, T). 5. **Calculate probability:** $$ P(4 \text{ and } T) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{12} $$ 6. **Final answer:** The probability that Helen gets a 4 and a tail is $\boxed{\frac{1}{12}}$.