Baby Gender Probability
1. **Stating the problem:** A couple has five sons, and we want to find the probability that their next baby will be a daughter.
2. **Understanding the problem:** The gender of each child is generally considered an independent event with two equally likely outcomes: son or daughter.
3. **Formula used:** The probability of having a daughter in any single birth is
$$P(\text{daughter}) = \frac{1}{2}$$
4. **Important rule:** The gender of previous children does not affect the probability of the next child’s gender because each birth is independent.
5. **Applying the rule:** Regardless of having five sons already, the probability that the next baby is a daughter remains
$$\boxed{\frac{1}{2}}$$
6. **Answer:** The correct choice is option 4, $\frac{1}{2}$.