Both situations happened. Rich families had slave and non-slave educators who would teach to the family children and to the slave children. A lot of slaves in A

Both situations happened. Rich families had slave and non-slave educators who would teach to the family children and to the slave children. A lot of slaves in Antiquity were given the occupation of shopkeepers, clerks or even lawyers, so they needed to be educated. Also the situation of slaves was quite fluid: you could be a slave by birth, but you could have been captured in war and conquest or you could have simply failed to pay your debts. Skilled slaves often had the possibility to earn some money and buy back their freedom. On the other hand, there were also unskilled slaves, often worked to death in mines or fields.