In a family of five children what is the probability that… All are females

• A. 0.031, 3.1%
• B. 0.5, 50%
• C. 0.25, 25%
• D. 0.10, 10%

Answer: (A)

Verified step by step guidance

1. Understand that the probability of having a female child is 0.5, assuming equal probability for male and female births.
2. Recognize that the probability of all five children being female is the product of the probability of each child being female.
3. Set up the equation for the probability of all five children being female: \( P = 0.5^5 \).
4. Calculate \( 0.5^5 \) to find the probability of all five children being female.
5. Convert the probability into a percentage by multiplying the result by 100 to express it as a percentage.