Blue Eyed Boy
1. The problem asks for the probability that Mrs. Jones will have a baby who is both a boy and has blue eyes.
2. We are given:
- Probability of boy, $P(\text{boy}) = \frac{1}{2}$
- Probability of blue eyes, $P(\text{blue eyes}) = \frac{1}{4}$
3. Assuming the events "boy" and "blue eyes" are independent, the combined probability is the product of the two probabilities:
$$P(\text{blue-eyed boy}) = P(\text{boy}) \times P(\text{blue eyes}) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$$
4. Therefore, the probability that Mrs. Jones will have a blue-eyed boy is $\frac{1}{8}$.
5. The correct answer is (a) $\frac{1}{8}$.