I am assuming that he is pure for E (Extended Black), which makes a chicken black all over. And he would have one copy of the Dominant White gene, which turns black into white but lets some black leak through (paint).
With those hens, I expect:
Half of chicks black, half of chicks paint.
Some chicks may show gold or red leakage, especially male chicks who have buff or gold or brown mothers. Chicks of either gender might show some silver leakage (more obvious on black chicks than on paint chicks.)
1/4 black chicks
1/4 blue chick
1/4 blue paint
1/4 paint (black, not blue)
1/4 black pullets
1/4 barred cockerels (black with white barring)
1/4 paint pullets
1/4 barred paint cockerels (white barring, but only very noticeable when it goes over the black spots in the paint pattern.)
With the barred mother, these chicks will be sexlinks, but the only ones that will be easy to identify will be the barred cockerels. The barred paint cockerels won't be obvious. The black pullets and the paint pullets will be the same colors as chicks from many of the other hens (and from the other hens, those colors can be on sons or daughters.)