What are the chances of living in a world with no actual money ?
Low. I think personally that cryptocurrencies wont make FIAT useless, but I think that cryptocurrencies will work hand-in-hand with FIAT money. Especially in countries like the United States, and the other first-world countries; I don't see FIAT going anywhere soon.
It will take time but I think there might be a gradual phase out. Some people said in 5 years we will see lots of changes.