Bay Roan + Perlino (assuming neither horse is homozygous for black or agouti)

18.75% smokey black (may look black)
18.75% smokey black roan (may look blue roan)
18.75% buckskin
18.75% buckskin roan
12.5% palomino
12.5% palomino roan

You have a separate 25% chance that the foal will be homozygous for black and another 25% chance that the foal will be homozygous for agouti (bay/brown modifying gene).

There is NO chance for bay, black, blue roan, bay/red roan, chestnut, or chestnut roan since one horse is a Perlino. Perlino is homozygous for Creme, which means every foal from that horse will have a copy of the creme modifier.