1. **State the problem:** You flip a coin twice. The probability of heads on any flip is $\frac{1}{2}$. Given the first flip is heads, find the probability the second flip is tails. 2. **Understand the problem:** Each coin flip is independent, meaning the outcome of the first flip does not affect the second. 3. **Recall the formula:** For independent events $A$ and $B$, $P(B|A) = P(B)$ because $A$ does not influence $B$. 4. **Apply to this problem:** The probability the second flip is tails is simply the probability of tails on a single flip. 5. **Calculate:** $$P(\text{tails on second flip}) = \frac{1}{2}$$ 6. **Final answer:** The probability that the second flip lands tails given the first flip was heads is $\frac{1}{2}$.