Home / Questions / A statistics professor and his wife are planning to take a 2-week vacation in Hawaii but t...
A statistics professor and his wife are planning to
take a 2-week vacation in Hawaii, but they can’t
decide whether to spend 1 week on each of the
islands of Maui and Oahu, 2 weeks on Maui, or
2 weeks on Oahu. Placing their faith in random
chance, they insert two Maui brochures in one envelope,
two Oahu brochures in a second envelope, and
one brochure from each island in a third envelope.
The professor’s wife will select one envelope at random,
and their vacation schedule will be based on
the brochures of the islands so selected. After his
wife randomly selects an envelope, the professor
removes one brochure from the envelope (without
looking at the second brochure) and observes that
it is a Maui brochure. What is the probability that
the other brochure in the envelope is a Maui brochure?
(Proceed with caution: The problem is more
difficult than it appears.)
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