In OSPF, the election of the Backup Designated Router (BDR) is based on the priority of the routers. If routers have the same priority, the router with the highest Router ID is elected. In this network, Router A and Router B both have the highest priority of 255. They are likely to be elected as the Designated Router (DR) and the Backup Designated Router (BDR). Since Router A and Router B have the same priority, the one with the higher Router ID will be preferred as the DR. Therefore, Router B, with the Router ID 10.0.2.2, will be elected as the DR, and Router A, with the Router ID 10.0.1.1, will be the BDR. However, Router D, with a lower priority than A and B but higher than Router C, will function as a candidate only if A or B fails.