As of July 2018, Ethereum mining is based on a Proof of Work (PoW) algorithm. Miners compete to solve math problems and are rewarded with Ethereum if they are the first to do so.
The more miners that join the network, the more difficult the math problems become. As a result, it can take days or even weeks for a slower miner to successfully mine a block of transactions and receive their reward.
A 1060 3GB can mine Ethereum if it’s part of a mining pool. When miners work together in a pool, they share their processing power and rewards are distributed evenly among all members of the pool.
However, solo mining is no longer profitable due to the difficulty of the math problems.
In conclusion, a 1060 3GB can mine Ethereum as part of a pool, but solo mining is no longer profitable.