Final answer:
The probability of a woman giving birth to three girls in a row is calculated by multiplying the chance of having a girl three times, which is (1/2 * 1/2 * 1/2 = 1/8). Therefore, the correct answer is option 3.
Step-by-step explanation:
The question asks about the probability of a woman giving birth to three girls in a row. Assuming that the likelihood of having a girl is equal to the likelihood of having a boy, which is 1/2, we would calculate this probability by multiplying the chance of having a girl three consecutive times. Therefore, we have (1/2) * (1/2) * (1/2) = 1/8. So, the correct answer is 1/8, which corresponds to option 3 among the given choices.
It's also important to note that previously having daughters or sons does not influence the probability of the gender of the next child; each pregnancy is an independent event with the same probability distribution. Therefore, the correct answer is option 3.