If you breed the EeA? Mare to a bay stallion who is, because we don’t know otherwise, E?A? The. Yes, the odds of a bay foal are greater, based on just what we know, than breeding her to a chestnut stallion
That’s because we KNOW each parent is at least Ee, meaning 75% chance at black-based to start, and each has at least one A.
We don’t KNOW the chestnut stallion is A? Though odds are pretty good he is, again, not knowing anything else.
If the bay mare is EeAA then breeding to chestnut ee?? is 50/50 bay or chestnut.
Breeding to an EeA? stallion is 75/25 bay/chestnut.
If each parent is Aa then divide the bay odds another 75/25 between bay and black, respectively.