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Miracle Mountain
Braingle.com
A hiker climbs all day up a steep mountain path and arrives at the
mountain top where he camps overnight. The next day he begins the
descent down the same trail to the bottom of the mountain when
suddenly he looks at his watch and exclaims, "That is amazing! I was
at this very same spot at exactly the same time of day yesterday on my
way up."
What is the probability that a hiker will be at exactly the same spot
on the mountain at the same time of day on his return trip, as he was
on the previous day's hike up the mountain? Is the probability closest
to (A) 99% or (B) 50% or (C) 0.1% ?