My prediction is that in 10 years at most, nobody will use paper money, and this will probably start on the side of the states, where they will completely abolish paper money, digitize everything and act more easily.
I bet you that your predictions would turn out wrong. Paper money has been in existence and use for over a century(thats a 100 years). We have gotten familiar and used to the paper money that any other means of payment would be scrutinized thoroughly and initially distrusted.
Paper money will almost definitely still be in existence and use in 10 years. Besides, what other means of payment is as widespread, known and accepted as the fiat system? None that I know of.
In 10 years from today, we would still be using the fiat system. There may be other new and innovative means of making and receiving payments, that doesnt mean the fiat system would be completely abolished.