SOLUTION: assume that having a child with brown eyes or blue eyes are equally likely and that eye color is independent of the other children. What is the probability of have 5 children with

Algebra ->  Probability-and-statistics -> SOLUTION: assume that having a child with brown eyes or blue eyes are equally likely and that eye color is independent of the other children. What is the probability of have 5 children with       Log On


   

Question 1051060: assume that having a child with brown eyes or blue eyes are equally likely and that eye color is independent of the other children. What is the probability of have 5 children with brown eyes? With work shown.
Found 2 solutions by Boreal, Fombitz:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is the probability of one child (1/2) raised to the fifth power, since children are assmed to be independent. That is 1/32, coming from (1/2)^5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2^5 possible outcomes.
One of them is 5 brown eyed children.
P=1%2F2%5E5=1%2F32