Oh? Britain isn't in the eurozone either, but they are liable to backing the bailouts. You sure of that? Everyone in the EU participates in the eurozone, even if they aren't in the euro currency. Many other countries not even in the EU participate in the eurozone—you never heard of the "European Free Trade Association", through which Norway and Iceland participate in the "single market" (or "European Economic Area") but also agree to have EU law foisted upon them?
Poland has it's own money, the złoty. They were supposed to join in 2012, but that's not going to happen. They don't have to bailout anyone in the euro-zone as they aren't in it
Does Norway and Iceland have their own currency or euro?