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This is sort of a trick question. Pay attention to the priority and RID values.
Priority set to 0 will never become DR or BDR so R1 is excluded.
Higher priority is better in OSPF so R2 is lowet than both R3 and R4.
R3 and R4 has the same priority so RID will decide.
R4 has the highest RID so it will become DR and R3 will then become BDR.
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When OSPF routers come online simultaneously, the election of the Backup Designated Router (BDR) in OSPF depends on several factors:
Router Priority: OSPF routers have a configurable priority value. The router with the highest priority becomes the Designated Router (DR), and the one with the second-highest priority becomes the BDR. If all priorities are equal, the router with the highest router ID becomes the DR, and the second-highest becomes the BDR.
Router ID: OSPF uses the router ID as a tiebreaker when priorities are equal. The router with the highest router ID among those routers with the same priority becomes the DR, and the one with the next highest router ID becomes the BDR.
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