It’s hard to tell for sure what genetics a chicken has just by looking so you have to make some assumptions unless you know the background of the chickens. One really huge assumption is that the genetics are pure, that there are no recessive genes hiding under dominant genes. A whole lot of times that is not true but you have to have something to go by.
The rooster looks like a Black Copper so I’ll assume he is Birchen and has gold.
The all-black hen is probably Extended Black and likely has Silver. Most all-black black breeds do. That black coloring can hide about anything under it so you can really get some surprises, but if she is pure for that black you should get solid black chicks with that rooster. It’s possible you will see some red leakage. That means you could have a few red feathers leaking through the solid black. I’d kind of expect that on the males, not so much on the females.
The cuckoo frizzle is interesting. If she and the rooster are pure, you should get black sex links. The males will be barred and have a light spot on their head when they hatch. The females should be solid black and not have that spot on the head. The way I understand the Frizzle gene it is dominant but it is a fatal gene if it pairs up. That means if both genes at that location on the chromosome are Frizzle the chick dies. Since the hen is alive it has to be split, one Frizzle gene and one not Frizzle gene. About half the offspring will get the Frizzle gene and be Frizzled. Half will not get the Frizzled gene and will have regular feathers.
So from the Cuckoo Frizzle, you will get some black frizzled pullets, some black not-frizzled pullets, some barred frizzled males, and some barred not-frizzled males.
