With inos (albinos and lutinos), males carry 2 alleles while females carry only one. So a male ino with a normal female with give you normal chicks split for ino if they're male, and ino chicks if they're female. A female ino with a normal male will give you normal males split for ino and normal females.
A mauve is just a white base (blue) budgie with 2 dark factors, and a lutino is a yellow base (green) albino. So if the mauve is split for ino, you would get 50% normal green chicks and 50% lutino chicks. If the female lutino is split for blue and the male mauve is split for ino, then 12.5% would be lutino males, 12.5% albino males, 12.5% lutino females, 12.5% albino females, 12.5% dark green males split for blue and ino, 12.5% cobalt males split for ino, 12.5% dark green females split for blue, 12.5% cobalt females. If neither bird is split for anything, the combination if a mauve and a lutino would give you 50% dark green males split for blue and ino and 50% dark green females split for blue.
A combination of a lutino and a normal green would give you normal green males split for ino and normal females if the mother is ino. If the father is the ino, you will get normal green males split for ino and lutino females.
It really all depends on the gender of the bird and if it's carrying any genes. Inos can also mask traits, so breeding a normal with an ino can give you mutations that aren't seen in either parent.