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To solve the problem of finding the probability that all four children in a family are girls, we can follow these steps:

### Step-by-Step Solution:
1. **Assume equal probability for each gender**: For each child, the probability of being a girl is \( \frac{1}{2} \), as there are only two possible outcomes (boy or girl).

2. **Multiply the probabilities for four children**: Since the gender of each child is independent of the others, we calculate the probability of all four children being girls by multiplying the individual probabilities:

\[
\text{Probability} = \left( \frac{1}{2} \right) \times \left( \frac{1}{2} \right) \times \left( \frac{1}{2} \right) \times \left( \frac{1}{2} \right)
= \left( \frac{1}{2} \right)^4 = \frac{1}{16}
\]

### Final Answer:
The probability that all four children are girls is \( \frac{1}{16} \).

Would you like further explanation or details on this? Here are some related questions you might find useful:

1. What is the probability of having at least one boy in the family?
2. How does the probability change if there are more children?
3. What is the probability of having exactly two girls and two boys?
4. Can probabilities differ if there are external factors affecting gender ratios?
5. How would you calculate the probability for different outcomes, like 3 boys and 1 girl?

### Tip:
When dealing with independent events, always multiply the probabilities of individual outcomes to find the total probability for a specific combination.

Given a family with four children, find the probability of the event that all are girls.

Learn how to calculate the probability that all four children in a family are girls. This problem involves key concepts in probability, such as independent events and the multiplication rule. Suitable for students in Grades 6-8.

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