Newlyweds Katherine and Matthias plan to have two children. Assuming it is equally likely to be a boy or a girl, use the tree diagram to help you find the probability that their second child is a girl, given that their first child is a boy.
(1 point)
Responses
18
Start Fraction 1 over 8 End Fraction
12
Start Fraction 1 over 2 End Fraction
14
Start Fraction 1 over 4 End Fraction
34
The correct response is:
12
Start Fraction 1 over 2 End Fraction
Explanation:
Since the gender of each child is independent of the other, the probability of the second child being a girl given that the first child is a boy is 1/2. This is represented in the tree diagram where half of the branches lead to a girl after the first boy.