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Matheus Ferreira
Question 12, 11.5.59
HW Score: $35 \%, 7$ of 20 points
Points: 0 of 1
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Assume that the probability of any newborn baby being a girl is $\frac{1}{2}$ and that all births are independent. If a family has three children (no twins), what is the probability of the event that they are all girls?
The probability is $\square$
(Simplify your answer.)
Answer
The final answer is \( \boxed{0.125} \).
Step 1 ：Assume that the probability of any newborn baby being a girl is \( \frac{1}{2} \) and that all births are independent.
Step 2 ：If a family has three children (no twins), we are asked to find the probability of the event that they are all girls.
Step 3 ：We calculate the probability by raising the probability of a single event (a girl being born) to the power of the number of events (three girls being born).
Step 4 ：The calculation is \( \left(\frac{1}{2}\right)^3 \).
Step 5 ：The final answer is \( \boxed{0.125} \).
