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.
Actually i think there is a pretty high chance for cash money to disappear and cryptocurrency taking its place.
This probably won't happen in the next 3-4 years. But i think in 5 years from now we won't pay with cash.. rather with credit cards.
And the timeframe in which those credit cards get replaced by cryptocurrency can't be told for sure.
But russia is going the first step introducing CryptoRubel.