Discrete Mathematics Level 2

The ship The Mathews Men sailed from Cuba, with a destination of Gales Neck, and never reached port.

Pirates have been spotted near the run. On any given voyage, there is a 5% chance that pirates are encountered. If they are, the ship is captured and the crew ransomed.

Even without the pirates, the run is dangerous. There is 1 chance in 19 that the ship will be sunk in a storm on any given attempt to run the route.

As a percentage, what are the chances that the reason the ship failed to make the crossing was because it was captured by pirates?

(Assume that if a vessel is going to be captured by pirates, it will happen within 2 hours of leaving port, before it has a chance to reach the open ocean where the storms are.)


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