Answer:
35/522 ≈ 0.067
Step-by-step explanation:
There are initially 29 names in the hat, 15 of which are girls' names. So the probability is 15/29.
There are now 28 names in the hat, 14 of which are boys' names. So the probability is 14/28.
There are now 27 names in the hat, and 14 girls' names. So the probability is 14/27.
Finally, there are 26 names in the hat, and 13 boys' names. So the probability is 13/26.
The total probability is:
P = (15/29) (14/28) (14/27) (13/26)
P = 35/522
P ≈ 0.067