As I understand it the problem with the original POODLE is that the SSL 3.0 specification was broken - so if you are using SSL3 you are vulnerable.
With POODLE against TLS the problem is that some companies'(*) _implementations_ of TLS were vulnerable. So, if you are using TLS it depends on who wrote the implementation whether or not you are vulnerable.
(*)e.g. A10 and F5, both of whom released fixes very soon after - if your bank is using either company they should have applied the patches by now