Answer to brain teaser #16
The judge then said, "Merchant, you stated that the purse you lost contained 200 pieces of gold. Well, that's a considerable loss, but the purse this beggar found had only 100 pieces of gold. Therefore, it couldn't be the one you lost." With that, the judge gave the purse with 100 pieces of gold to the beggar, and told the merchant that he did not have to pay a reward.
There might just be a leather bag out there somewhere still with 200 pieces of gold in it, but don't ask the merchant, the beggar, or me.
Brain teaser #17
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% ?
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