Jack and hill went up the fill to fetch a pail of water. Having filled the pail to the full jack fell down, spilling $$\dfrac { 2 }{ 3 } $$ of water, before jill caught the pail. She then tumbled down the hill, spilling $$\dfrac { 1 }{ 5 } $$ of the remainder. What fraction of the water fills the pail ?
Correct option is A. $$\dfrac { 4 }{ 15 } $$