The probability of first drawing a girls name and then a boys name from the hat is:
[tex]\dfrac{9}{55}[/tex]
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:
[tex]=\dfrac{2}{11}\times \dfrac{9}{10}\\\\=\dfrac{9}{55}[/tex]
The probability is: [tex]\dfrac{9}{55}[/tex]
