Returning Ships

Barnaby of the Barnaby and Bartholomew East India Trading Co. was worried as none of his ships had returned so far this month of May, 1776.

Lately, statistics were not very promising. Only six out of ten ships were returning, whether due to bad weather or piracy or both.

Five ships were due to return this month, but Barnaby could manage to survive somehow if three ships entered port.

What would you say was the probability that exactly three of Barnaby’s ships returned?

And the probability that at least three of Barnaby’s ships returned?

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