SOLUTION: A family has eight children with different ages. If it is known that the firstborn is a female, what is the probability that there are exactly two female children in the family?

Algebra ->  Finance -> SOLUTION: A family has eight children with different ages. If it is known that the firstborn is a female, what is the probability that there are exactly two female children in the family?      Log On


   

Question 1130392: A family has eight children with different ages. If it is known that the firstborn is a female, what is the probability that there are exactly two female children in the family?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
The probability under the question is exactly equal to the probability that there is precisely one female of the rest 7 children,


and this probability is equal to  C%5B7%5D%5E1%2A%281%2F2%29%5E7 = 7%2F2%5E7 = 0.0547 = 5.47% (approximately).      ANSWER