Chances of catching a sunken with magnetic collectors rod?

Chances are:
1/8000 to catch a specific sunken (like the sword) with an unenchanted rod.
1/5333 to catch a specific sunken (like the sword) with magnetic collectors.
1/2000 to catch any sunken (not just a sword) with an unenchanted rod.
1/1666 to catch any sunken (not just a sword) with magnetic collectors.

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