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According to Wikipedia, six Tambor-class subs were in the central Pacific on the day. How likely is one stumbling across Kidō Butai and what is the chance of sinking a few ships? Would they sink a ship before a formal declaration of war from the US Government?

The subs displaced 1500t, had a top speed of 20kt and a submerged speed of 8.5kt, 6 forward torpedo tubes and 24 torpedos.
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