Since you may pick any of the marbles with the same probability, the answers will follow the pattern
[tex] P = \dfrac{\text{number of required marbles}}{\text{total number of marbles}} [/tex]
So, the probability of picking a green marble is
[tex] P = \dfrac{10}{55} = \dfrac{2}{11} [/tex]
And a blue marble is
[tex] P = \dfrac{20}{55} = \dfrac{4}{11} [/tex]