From an EU perspective, obtaining a fake ID isn't that likely - counterfeiting anything certainly is possible, but it's hard and expensive (harder than counterfeiting money), risky (being caught with a fake means jail time, it's a more severe crime than theft and there's no "take-backsies" if they don't like the ID) so fraud with fake IDs is extremely rare.

It may happen with certain large scale scams involving organized crime, but not for small amounts; it simply doesn't show up in practice. What does happen is use of real IDs that are stolen (or bought from homeless people), but most places that have some risks have access to registries where they can verify if the ID has been reported as stolen.