This question already has an answer here:
I have a set of PCs hasing at 100 kH/s and currently the network difficulty is 2674.36329706.
My power usage is 200 W, and as per https://www.litecoinpool.org/calc?hashrate=100&difficulty=2674.36329706&power=200&energycost=0.12¤cy=USD
the probability of me finding a block in 30 days is 2.23%
However, my internet speed has been curtailed at 52 kilobytes-per-second and I'm wondering if that changes the above probability from 2% to zero? ie, do I need to have a great internet connection to even have that 2% chance?