Answer:
[tex]\frac{17}{42}[/tex]
Step-by-step explanation:
The odds of the first sock being blue is:
[tex]\frac{18}{28}[/tex] or reduced to [tex]\frac{9}{14}[/tex]
The odds for the second sock being blue is:
[tex]\frac{17}{27}[/tex]
The odds of both happening is
[tex]\frac{9}{14} X \frac{17}{27} = \frac{153}{378}[/tex]
This can be simplified by 9 resulting in [tex]\frac{17}{42}[/tex]