Question

A family has 3 children. What is the probability that all 3 children were girls?

1) Cannot be determined
2) 0.125
3) 0.25
4) 0.375

Answer 1

To determine the probability of a family with three children having all girls, we multiply the probability of each child being a girl (1/2) three times, resulting in a probability of 1/8 or 0.125.

Step-by-step explanation:

The question asks about the probability that a family with three children will have all girls. Assuming that the likelihood of having a boy or a girl is equal (and ignoring the complexities of gender which include non-binary outcomes), each child has a 1/2 chance of being a girl independently of the others.

To find the probability of having three girls, we multiply the individual probabilities for each child:

1. Probability of first child being a girl = 1/2,
2. Probability of second child being a girl = 1/2,
3. Probability of third child being a girl = 1/2.

Thus, the combined probability is (1/2) x (1/2) x (1/2) = 1/8 or 0.125.