Answer: 1/8
Step-by-step explanation:
First Bag  and    Second Bag
[tex]\dfrac{3\ blue}{8\ total}[/tex]     x       [tex]\dfrac{2\ blue}{6\ total}[/tex]     =  [tex]\dfrac{6}{48}[/tex]
which reduces to [tex]\boxed{\dfrac{1}{8}}[/tex]