The main difference between the plans of Columbus and da Gama mainly differ in the way they tried to reach the continent, while Columbus was going for a much riskier option and wanted to reach Asian through unexplored ocean by going in a westward direction, da Gama was going for a safer option by traveling near the continental mainlands and was going south to go around Africa and than eastward towards the already known direction for Asia. This lead to different results, Columbus unintentionally managed to discover a whole new world for the Europeans, while da Gama managed to open up a route towards Asia that was clear of any charges or passing through the waters of some empire.
Confirmation bias happened when a personal belief and desire are directly influenced. It is something like that when p[people want to confirm that it is true and they believing it that it is confirmed true. In this situation, we believe that information that we believe even we ignore other information that confirms it doubtful.
It indicates that we do not see the situation objectively but we see it subjectively so the belief is biased. Even we pick that data that feels us happy and confirmed our prejudice. It is also found in an anxious patient who always seeks that the world is in danger.