<h2>
Answer:</h2>
The probability of first drawing a girls name and then a boys name from the hat is:

<h2>
Step-by-step explanation:</h2>
It is given that:
The names of nine boys and two girls are in a hat.
This means that the total number of names in the hat are: 9+2=11.
Also, the probability of first drawing a girls name and then a boys name from the hat is given by:
Probability of drawing a girl name×Probability of drawing a boy name.
Also, the drawing of names is done without replacement.
Hence, we get probability as:

The probability is: 